 2.4.1: Limits and Continuity In Exercises 16, use the graph to determine t...
 2.4.2: Limits and Continuity In Exercises 16, use the graph to determine t...
 2.4.3: Limits and Continuity In Exercises 16, use the graph to determine t...
 2.4.4: Limits and Continuity In Exercises 16, use the graph to determine t...
 2.4.5: Limits and Continuity In Exercises 16, use the graph to determine t...
 2.4.6: Limits and Continuity In Exercises 16, use the graph to determine t...
 2.4.7: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.8: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.9: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.10: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.11: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.12: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.13: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.14: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.15: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.16: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.17: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.18: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.19: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.20: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.21: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.22: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.23: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.24: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.25: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.26: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.27: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.28: Finding a Limit In Exercises 728, find the limit (if it exists). If...
 2.4.29: Continuity of a Function In Exercises 2932, discuss the continuity ...
 2.4.30: Continuity of a Function In Exercises 2932, discuss the continuity ...
 2.4.31: Continuity of a Function In Exercises 2932, discuss the continuity ...
 2.4.32: Continuity of a Function In Exercises 2932, discuss the continuity ...
 2.4.33: Continuity on a Closed Interval In Exercises 3336, discuss the cont...
 2.4.34: Continuity on a Closed Interval In Exercises 3336, discuss the cont...
 2.4.35: Continuity on a Closed Interval In Exercises 3336, discuss the cont...
 2.4.36: Continuity on a Closed Interval In Exercises 3336, discuss the cont...
 2.4.37: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.38: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.39: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.40: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.41: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.42: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.43: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.44: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.45: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.46: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.47: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.48: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.49: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.50: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.51: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.52: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.53: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.54: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.55: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.56: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.57: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.58: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.59: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.60: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.61: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.62: Removable and Nonremovable Discontinuities In Exercises 3762, find ...
 2.4.63: Making a Function Continuous In Exercises 63 68, find the constant ...
 2.4.64: Making a Function Continuous In Exercises 63 68, find the constant ...
 2.4.65: Making a Function Continuous In Exercises 63 68, find the constant ...
 2.4.66: Making a Function Continuous In Exercises 63 68, find the constant ...
 2.4.67: Making a Function Continuous In Exercises 63 68, find the constant ...
 2.4.68: Making a Function Continuous In Exercises 63 68, find the constant ...
 2.4.69: Continuity of a Composite Function In Exercises 6972, discuss the c...
 2.4.70: Continuity of a Composite Function In Exercises 6972, discuss the c...
 2.4.71: Continuity of a Composite Function In Exercises 6972, discuss the c...
 2.4.72: Continuity of a Composite Function In Exercises 6972, discuss the c...
 2.4.73: Finding Discontinuities In Exercises 7376, use a graphing utility t...
 2.4.74: Finding Discontinuities In Exercises 7376, use a graphing utility t...
 2.4.75: Finding Discontinuities In Exercises 7376, use a graphing utility t...
 2.4.76: Finding Discontinuities In Exercises 7376, use a graphing utility t...
 2.4.77: Testing for Continuity In Exercises 7784, describe the interval(s) ...
 2.4.78: Testing for Continuity In Exercises 7784, describe the interval(s) ...
 2.4.79: Testing for Continuity In Exercises 7784, describe the interval(s) ...
 2.4.80: Testing for Continuity In Exercises 7784, describe the interval(s) ...
 2.4.81: Testing for Continuity In Exercises 7784, describe the interval(s) ...
 2.4.82: Testing for Continuity In Exercises 7784, describe the interval(s) ...
 2.4.83: Testing for Continuity In Exercises 7784, describe the interval(s) ...
 2.4.84: Testing for Continuity In Exercises 7784, describe the interval(s) ...
 2.4.85: Writing In Exercises 8588, use a graphing utility to graph the func...
 2.4.86: Writing In Exercises 8588, use a graphing utility to graph the func...
 2.4.87: Writing In Exercises 8588, use a graphing utility to graph the func...
 2.4.88: Writing In Exercises 8588, use a graphing utility to graph the func...
 2.4.89: Writing In Exercises 8992, explain why the function has a zero in t...
 2.4.90: Writing In Exercises 8992, explain why the function has a zero in t...
 2.4.91: Writing In Exercises 8992, explain why the function has a zero in t...
 2.4.92: Writing In Exercises 8992, explain why the function has a zero in t...
 2.4.93: Using the Intermediate Value Theorem In Exercises 9398, use the Int...
 2.4.94: Using the Intermediate Value Theorem In Exercises 9398, use the Int...
 2.4.95: Using the Intermediate Value Theorem In Exercises 9398, use the Int...
 2.4.96: Using the Intermediate Value Theorem In Exercises 9398, use the Int...
 2.4.97: Using the Intermediate Value Theorem In Exercises 9398, use the Int...
 2.4.98: Using the Intermediate Value Theorem In Exercises 9398, use the Int...
 2.4.99: Using the Intermediate Value Theorem In Exercises 99102, verify tha...
 2.4.100: Using the Intermediate Value Theorem In Exercises 99102, verify tha...
 2.4.101: Using the Intermediate Value Theorem In Exercises 99102, verify tha...
 2.4.102: Using the Intermediate Value Theorem In Exercises 99102, verify tha...
 2.4.103: Using the Definition of Continuity State how continuity is destroye...
 2.4.104: Sketching a Graph Sketch the graph of any function such that and Is...
 2.4.105: Continuity of Combinations of Functions If the functions and are co...
 2.4.106: Removable and Nonremovable Discontinuities Describe the difference ...
 2.4.107: If and then is continuous at
 2.4.108: If for and then either or is not continuous at
 2.4.109: A rational function can have infinitely many values at which it is...
 2.4.110: The function is continuous on
 2.4.111: Think About It Describe how the functions and differ.
 2.4.112: HOW DO YOU SEE IT? Every day you dissolve 28 ounces of chlorine in ...
 2.4.113: Telephone Charges A long distance phone service charges $0.40 for t...
 2.4.114: Inventory Management The number of units in inventory in a small co...
 2.4.115: Dj Vu At 8:00 A.M. on Saturday, a man begins running up the side of...
 2.4.116: Volume Use the Intermediate Value Theorem to show that for all sphe...
 2.4.117: Proof Prove that if is continuous and has no zeros on then either f...
 2.4.118: Dirichlet Function Show that the Dirichlet function is not continuo...
 2.4.119: Continuity of a Function Show that the function is continuous only ...
 2.4.120: Signum Function The signum function is defined by . Sketch a graph ...
 2.4.121: Modeling Data The table lists the speeds (in feet per second) of a ...
 2.4.122: Creating Models A swimmer crosses a pool of width by swimming in a ...
 2.4.123: Making a Function Continuous Find all values of such that is contin...
 2.4.124: Proof Prove that for any real number there exists in such that
 2.4.125: Making a Function Continuous Let What is the domain of How can you ...
 2.4.126: Proof Prove that if then is continuous at
 2.4.127: Continuity of a Function Discuss the continuity of the function
 2.4.128: Proof (a) Let and be continuous on the closed interval If and prove...
 2.4.129: Prove or disprove: If and are real numbers with and then
 2.4.130: Determine all polynomials such that and
Solutions for Chapter 2.4: Continuity and OneSided Limits
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 2.4: Continuity and OneSided Limits
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This expansive textbook survival guide covers the following chapters and their solutions. Since 130 problems in chapter 2.4: Continuity and OneSided Limits have been answered, more than 47700 students have viewed full stepbystep solutions from this chapter. Chapter 2.4: Continuity and OneSided Limits includes 130 full stepbystep solutions.

Arctangent function
See Inverse tangent function.

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

Dependent variable
Variable representing the range value of a function (usually y)

Exponent
See nth power of a.

Frequency table (in statistics)
A table showing frequencies.

Geometric series
A series whose terms form a geometric sequence.

Inverse secant function
The function y = sec1 x

Mathematical induction
A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

Normal curve
The graph of ƒ(x) = ex2/2

Outliers
Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Range screen
See Viewing window.

Slope
Ratio change in y/change in x

Symmetric about the yaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Unit circle
A circle with radius 1 centered at the origin.

Unit vector
Vector of length 1.

Vertex of an angle
See Angle.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.

yaxis
Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.