 1.4.1: In Exercises 16, use the graph to determine the limit, and discuss...
 1.4.2: In Exercises 16, use the graph to determine the limit, and discuss...
 1.4.3: In Exercises 16, use the graph to determine the limit, and discuss...
 1.4.4: In Exercises 16, use the graph to determine the limit, and discuss...
 1.4.5: In Exercises 16, use the graph to determine the limit, and discuss...
 1.4.6: In Exercises 16, use the graph to determine the limit, and discuss...
 1.4.7: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.8: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.9: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.10: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.11: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.12: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.13: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.14: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.15: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.16: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.17: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.18: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.19: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.20: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.21: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.22: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.23: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.24: In Exercises 724, find the limit (if it exists). If It does not ex...
 1.4.25: In Exercises 2528, discuss tlie continuity of eucli function. ,/Xv...
 1.4.26: In Exercises 2528, discuss tlie continuity of eucli function. ,/lv...
 1.4.27: In Exercises 2528, discuss tlie continuity of eucli function. fix)...
 1.4.28: In Exercises 2528, discuss tlie continuity of eucli function./(a) ...
 1.4.29: In Exercises 2932, discuss the continuity of the function on the c...
 1.4.30: In Exercises 2932, discuss the continuity of the function on the c...
 1.4.31: In Exercises 2932, discuss the continuity of the function on the c...
 1.4.32: In Exercises 2932, discuss the continuity of the function on the c...
 1.4.33: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.34: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.35: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.36: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.37: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.38: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.39: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.40: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.41: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.42: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.43: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.44: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.45: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.46: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.47: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.48: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.49: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.50: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.51: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.52: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.53: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.54: In Exercises 3354, tind the .vvalues (if any) at which/ Is not co...
 1.4.55: In Exercises 55 and 56, use a fjraphinK utility to >;r:i)h the fun...
 1.4.56: In Exercises 55 and 56, use a fjraphinK utility to >;r:i)h the fun...
 1.4.57: In Exercises 5760. lind the constants a and b such that the functi...
 1.4.58: In Exercises 5760. lind the constants a and b such that the functi...
 1.4.59: In Exercises 5760. lind the constants a and b such that the functi...
 1.4.60: In Exercises 5760. lind the constants a and b such that the functi...
 1.4.61: In Exercises 6164, discuss the continuity of the composite functio...
 1.4.62: In Exercises 6164, discuss the continuity of the composite functio...
 1.4.63: In Exercises 6164, discuss the continuity of the composite functio...
 1.4.64: In Exercises 6164, discuss the continuity of the composite functio...
 1.4.65: In Exercises 6568, use a graphing utility to graph the function. U...
 1.4.66: In Exercises 6568, use a graphing utility to graph the function. U...
 1.4.67: In Exercises 6568, use a graphing utility to graph the function. U...
 1.4.68: In Exercises 6568, use a graphing utility to graph the function. U...
 1.4.69: In Extrcises 6972. describe the iiiterval(s) on which the function...
 1.4.70: In Extrcises 6972. describe the iiiterval(s) on which the function...
 1.4.71: In Extrcises 6972. describe the iiiterval(s) on which the function...
 1.4.72: In Extrcises 6972. describe the iiiterval(s) on which the function...
 1.4.73: Wrilinii In Exercises 73 and 74, use a );raphin fix)
 1.4.74: Wrilinii In Exercises 73 and 74, use a );raphin fix)
 1.4.75: Wriliiii; In Exercises 7578. explain hy the function has a zero in...
 1.4.76: Wriliiii; In Exercises 7578. explain hy the function has a zero in...
 1.4.77: Wriliiii; In Exercises 7578. explain hy the function has a zero in...
 1.4.78: Wriliiii; In Exercises 7578. explain hy the function has a zero in...
 1.4.79: In Exercises 79S2. use the Intermediate \alue Theorem and a graphi...
 1.4.80: In Exercises 79S2. use the Intermediate \alue Theorem and a graphi...
 1.4.81: In Exercises 79S2. use the Intermediate \alue Theorem and a graphi...
 1.4.82: In Exercises 79S2. use the Intermediate \alue Theorem and a graphi...
 1.4.83: In Exercises 8386, verify that the Intermediate Value Theorem appl...
 1.4.84: In Exercises 8386, verify that the Intermediate Value Theorem appl...
 1.4.85: In Exercises 8386, verify that the Intermediate Value Theorem appl...
 1.4.86: In Exercises 8386, verify that the Intermediate Value Theorem appl...
 1.4.87: State how cuntinuil_\ is destroyed at a = c for each of the followina.
 1.4.88: Describe the difference between a discontinuity that is removable a...
 1.4.89: Sketch the graph of any function / such that hm /(() = 1 and lim fi...
 1.4.90: If the functions/ and ,(, are continuous for all real v, is/' I g...
 1.4.91: Think About It Describe how the functions fix) = 31 [a] andg(A) =...
 1.4.92: Telephone Charges A dialUuecl lunj: distance call between two citi...
 1.4.93: . Imentoiy Management The ntnnher of units in inventory in a small...
 1.4.94: Deja Vu At 8:00 a.m. on Saturday a man begins running up the side o...
 1.4.95: Vuhinie Use the Intermediate Value Theorem to show that for all sph...
 1.4.96: . Prove that if /'is continuous and has no zeros on [ii. /']. then ...
 1.4.97: Show that the Dirichlet function /(.v) 0. if V is rational 1. if ....
 1.4.98: Show that the function _ JO if ^ is rational \kx. if V is irrati...
 1.4.99: The signuni function is defined by fl. .V < sgn(.v) = I 0. .V = [l...
 1.4.100: True or False? In Exercises 1(10103, determine whether the stateme...
 1.4.101: True or False? In Exercises 1(10103, determine whether the stateme...
 1.4.102: True or False? In Exercises 1(10103, determine whether the stateme...
 1.4.103: True or False? In Exercises 1(10103, determine whether the stateme...
 1.4.104: Modeling Data After an object falls for t seconds, the speed 5 (in ...
 1.4.105: Creating Models .A swiiiiiiicr crosses a pool ol width /> by swimmi...
 1.4.106: Prove that for any real number \ there exists v in {  7r/2. it/2) ...
 1.4.107: Let /(.v) = ( ^ V + t   c)/.\, < > 0. What is the domain of /? Ho...
 1.4.108: Prove that if lim fie + A.v) = /fc), then /' is continuous at
 1.4.109: Discuss the continuity of the function /;(.v) = .v[.[.
 1.4.110: Let/(.v) and/,(.v) be continuous on the closed interval [n. h]. If...
Solutions for Chapter 1.4: Continuity and OneSided Limits
Full solutions for Calculus of A Single Variable  7th Edition
ISBN: 9780618149162
Solutions for Chapter 1.4: Continuity and OneSided Limits
Get Full SolutionsSince 110 problems in chapter 1.4: Continuity and OneSided Limits have been answered, more than 27769 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Chapter 1.4: Continuity and OneSided Limits includes 110 full stepbystep solutions. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162.

Acute angle
An angle whose measure is between 0° and 90°

Angle of elevation
The acute angle formed by the line of sight (upward) and the horizontal

Arctangent function
See Inverse tangent function.

Combinatorics
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

Convergence of a sequence
A sequence {an} converges to a if limn: q an = a

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

Firstdegree equation in x , y, and z
An equation that can be written in the form.

Fitting a line or curve to data
Finding a line or curve that comes close to passing through all the points in a scatter plot.

Future value of an annuity
The net amount of money returned from an annuity.

Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers

Logarithm
An expression of the form logb x (see Logarithmic function)

Logarithmic reexpression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

Mode of a data set
The category or number that occurs most frequently in the set.

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Order of magnitude (of n)
log n.

Permutation
An arrangement of elements of a set, in which order is important.

Positive linear correlation
See Linear correlation.

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

Reflection through the origin
x, y and (x,y) are reflections of each other through the origin.