 14.2.1: Suppose that . What can you say about the value of ? What if is con...
 14.2.2: Explain why each function is continuous or discontinuous. (a) The o...
 14.2.3: Use a table of numerical values of for near the origin to make a co...
 14.2.4: Use a table of numerical values of for near the origin to make a co...
 14.2.5: Find the limit, if it exists, or show that the limit does not exist.
 14.2.6: Find the limit, if it exists, or show that the limit does not exist.
 14.2.7: Find the limit, if it exists, or show that the limit does not exist.
 14.2.8: Find the limit, if it exists, or show that the limit does not exist.
 14.2.9: Find the limit, if it exists, or show that the limit does not exist.
 14.2.10: Find the limit, if it exists, or show that the limit does not exist.
 14.2.11: Find the limit, if it exists, or show that the limit does not exist.
 14.2.12: Find the limit, if it exists, or show that the limit does not exist.
 14.2.13: Find the limit, if it exists, or show that the limit does not exist.
 14.2.14: Find the limit, if it exists, or show that the limit does not exist.
 14.2.15: Find the limit, if it exists, or show that the limit does not exist.
 14.2.16: Find the limit, if it exists, or show that the limit does not exist.
 14.2.17: Find the limit, if it exists, or show that the limit does not exist.
 14.2.18: Find the limit, if it exists, or show that the limit does not exist.
 14.2.19: Find the limit, if it exists, or show that the limit does not exist.
 14.2.20: Find the limit, if it exists, or show that the limit does not exist.
 14.2.21: Use a computer graph of the function to explain why the limit does ...
 14.2.22: Use a computer graph of the function to explain why the limit does ...
 14.2.23: Find and the set on which is continuous
 14.2.24: Find and the set on which is continuous
 14.2.25: Graph the function and observe where it is discontinuous. Then use ...
 14.2.26: Graph the function and observe where it is discontinuous. Then use ...
 14.2.27: Determine the set of points at which the function is continuous.
 14.2.28: Determine the set of points at which the function is continuous.
 14.2.29: Determine the set of points at which the function is continuous.
 14.2.30: Determine the set of points at which the function is continuous.
 14.2.31: Determine the set of points at which the function is continuous.
 14.2.32: Determine the set of points at which the function is continuous.
 14.2.33: Determine the set of points at which the function is continuous.
 14.2.34: Determine the set of points at which the function is continuous.
 14.2.35: Determine the set of points at which the function is continuous.
 14.2.36: Determine the set of points at which the function is continuous.
 14.2.37: Use polar coordinates to find the limit. [If are polar coordinates ...
 14.2.38: Use polar coordinates to find the limit. [If are polar coordinates ...
 14.2.39: Use spherical coordinates to find x, y, zl0, 0, 0xyzx 2 y 2 z 2
 14.2.40: At the beginning of this section we considered the function and gue...
 14.2.41: Show that the function given by is continuous on . [Hint: Consider .]
 14.2.42: If , show that the function f given by is continuous on . n
Solutions for Chapter 14.2: Limits and Continuity
Full solutions for Calculus,  5th Edition
ISBN: 9780534393397
Solutions for Chapter 14.2: Limits and Continuity
Get Full SolutionsSince 42 problems in chapter 14.2: Limits and Continuity have been answered, more than 45029 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Chapter 14.2: Limits and Continuity includes 42 full stepbystep solutions. Calculus, was written by and is associated to the ISBN: 9780534393397. This expansive textbook survival guide covers the following chapters and their solutions.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Arcsecant function
See Inverse secant function.

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Completing the square
A method of adding a constant to an expression in order to form a perfect square

Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x )  x 2)2 + (y1  y2)2 + (z 1  z 2)2

Domain of a function
The set of all input values for a function

First quartile
See Quartile.

Hyperbola
A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

Inverse sine function
The function y = sin1 x

Length of an arrow
See Magnitude of an arrow.

Magnitude of a vector
The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

Onetoone function
A function in which each element of the range corresponds to exactly one element in the domain

Ordered pair
A pair of real numbers (x, y), p. 12.

Pascalâ€™s triangle
A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

Quadratic formula
The formula x = b 2b2  4ac2a used to solve ax 2 + bx + c = 0.

Quotient of complex numbers
a + bi c + di = ac + bd c2 + d2 + bc  ad c2 + d2 i

Reference triangle
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the xaxis, and a perpendicular dropped from a point on the terminal side to the xaxis. The angle in a reference triangle at the origin is the reference angle

Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt

Standard deviation
A measure of how a data set is spread

Vertical stretch or shrink
See Stretch, Shrink.