Problem 1MP: Matched Problem 1 Complete the following table, using the given graph of the function h. x h(x) 2 1... Problem 2MP: Matched Problem 2 Let f(x) = x + 1. Discuss the behavior of the values of f(x) when x is close to 1. Problem 3MP: Matched Problem 3 Graph h(x)=x2x2 and find limx2h(x) if it exists. Problem 4MP: Matched Problem 4 Given the graph of the function f shown in Figure 6, discuss the following, as we... Problem 5MP: Matched Problem 5 Find limx2(x2+5x). Problem 6MP: Matched Problem 6 Find each limit. (A) limx1(x42x+3) (B) limx23x26 (C) limx2x2x2+1 Problem 7MP: Matched Problem 7 Let f(x)={2x+3ifx5x+12ifx5 Find: (A) limx5f(x) (B) limx5+f(x) (C) limx5f(x) (D)... Problem 8MP: Matched Problem 8 Find each limit. (A) limx3x2+4x+3x+3 (B) limx4x216x4 Problem 9MP: Matched Problem 9 Is the limit expression a 0/0 indeterminate form? Find the limit or explain why... Problem 10MP: Matched Problem 10 Find the following limit for f(x) = 7 2x: limh0f(4+h)f(4)h. Problem 1ED: Explore and Discuss 1 The properties listed in Theorem 2 can be paraphrased in brief verbal... Problem 2ED: Explore and Discuss 2 If f(x)=1x, explain why limh0f(3+h)f(3)h=19. Problem 1E: Skills Warm-up Exercises In Problems 18, factor each polynomial into the product of first-degree... Problem 2E: Skills Warm-up Exercises In Problems 18, factor each polynomial into the product of first-degree... Problem 3E: Skills Warm-up Exercises In Problems 18, factor each polynomial into the product of first-degree... Problem 4E: Skills Warm-up Exercises In Problems 18, factor each polynomial into the product of first-degree... Problem 5E: Skills Warm-up Exercises In Problems 18, factor each polynomial into the product of first-degree... Problem 6E Problem 7E: Skills Warm-up Exercises In Problems 18, factor each polynomial into the product of first-degree... Problem 8E: Skills Warm-up Exercises In Problems 18, factor each polynomial into the product of first-degree... Problem 9E: In Problems 916, use the graph of the function f shown to estimate the indicated limits and function... Problem 10E Problem 11E: In Problems 916, use the graph of the function f shown to estimate the indicated limits and function... Problem 12E Problem 13E: In Problems 916, use the graph of the function f shown to estimate the indicated limits and function... Problem 14E: In Problems 916, use the graph of the function f shown to estimate the indicated limits and function... Problem 15E Problem 16E Problem 17E: In Problems 1724, use the graph of the function g shown to estimate the indicated limits and... Problem 18E Problem 19E: In Problems 1724, use the graph of the function g shown to estimate the indicated limits and... Problem 20E: In Problems 1724, use the graph of the function g shown to estimate the indicated limits and... Problem 21E Problem 22E: In Problems 1724, use the graph of the function g shown to estimate the indicated limits and... Problem 23E Problem 24E: In Problems 1724, use the graph of the function g shown to estimate the indicated limits and... Problem 25E Problem 26E Problem 27E Problem 28E Problem 29E: In Problems 2938, find each limit if it exists. 29. limx34x Problem 30E: In Problems 2938, find each limit if it exists. 30. limx23x Problem 31E: In Problems 2938, find each limit if it exists. 31. limx4(x+5) Problem 32E: In Problems 2938, find each limit if it exists. 32. limx5(x3) Problem 33E: In Problems 2938, find each limit if it exists. 33. limx2x(x4) Problem 34E: In Problems 2938, find each limit if it exists. 34. limx1x(x+3) Problem 35E: In Problems 2938, find each limit if it exists. 35. limx3xx+5 Problem 36E: In Problems 2938, find each limit if it exists. 36. limx4x2x Problem 37E: In Problems 2938, find each limit if it exists. 37. limx15x+4 Problem 38E: In Problems 2938, find each limit if it exists. 38. limx0167x Problem 39E: Given that limx1f(x)=5 and limx1g(x)=4, find the indicated limits in Problems 3946. 39. limx1(3)f(x) Problem 40E: Given that limx1f(x)=5 and limx1g(x)=4, find the indicated limits in Problems 3946. 40. limx12g(x) Problem 41E: Given that limx1f(x)=5 and limx1g(x)=4, find the indicated limits in Problems 3946. 41.... Problem 42E: Given that limx1f(x)=5 and limx1g(x)=4, find the indicated limits in Problems 3946. 42.... Problem 43E: Given that limx1f(x)=5 and limx1g(x)=4, find the indicated limits in Problems 3946. 43.... Problem 44E: Given that limx1f(x)=5 and limx1g(x)=4, find the indicated limits in Problems 3946. 44.... Problem 45E: Given that limx1f(x)=5 and limx1g(x)=4, find the indicated limits in Problems 3946. 45.... Problem 46E: Given that limx1f(x)=5 and limx1g(x)=4, find the indicated limits in Problems 3946. 46.... Problem 47E: In Problems 4750, sketch a possible graph of a function that satisfies the given conditions. 47.... Problem 48E: In Problems 4750, sketch a possible graph of a function that satisfies the given conditions. 48.... Problem 49E: In Problems 4750, sketch a possible graph of a function that satisfies the given conditions. 49.... Problem 50E: In Problems 4750, sketch a possible graph of a function that satisfies the given conditions. 50.... Problem 51E: In Problems 5166, find each indicated quantity if it exists. 51. Let f(x)={1x2ifx01+x2ifx0. Find (A)... Problem 52E: In Problems 5166, find each indicated quantity if it exists. 52. Let f(x)={2+xifx02xifx0. Find (A)... Problem 53E: In Problems 5166, find each indicated quantity if it exists. 53. Let f(x)={x2ifx12xifx1. Find (A)... Problem 54E: In Problems 5166, find each indicated quantity if it exists. 54. Let f(x)={x+3ifx2x+2ifx2. Find (A)... Problem 55E: In Problems 5166, find each indicated quantity if it exists. 55. Let f(x)={x29x+3ifx0x29x3ifx0. Find... Problem 56E: In Problems 5166, find each indicated quantity if it exists. 56. Let f(x)={xx+3ifx0xx3ifx0. Find (A)... Problem 57E: Let f(x)=|x1|x1. Find (A) limx1+f(x) (B) limx1f(x) (C) limx1f(x) (D) f(1) Problem 58E: Let f(x)=x3|x3|. Find (A) limx3+f(x) (B) limx3f(x) (C) limx3f(x) (D) f(3) Problem 59E: Let f(x)=x2x22x. Find (A) limx0f(x) (B) limx2f(x) (C) limx4f(x) Problem 60E: Let f(x)=x+3x2+3x. Find (A) limx3f(x) (B) limx0f(x) (C) limx3f(x) Problem 61E: Let f(x)=x2x6x+2. Find (A) limx2f(x) (B) limx0f(x) (C) limx3f(x) Problem 62E: Let f(x)=x2+x6x+3. Find (A) limx3f(x) (B) limx0f(x) (C) limx2f(x) Problem 63E: Let f(x)=(x+2)2x24. Find (A) limx2f(x) (B) limx0f(x) (C) limx2f(x) Problem 64E: Let f(x)=x21(x+1)2. Find (A) limx1f(x) (B) limx0f(x) (C) limx1f(x) Problem 65E: Let f(x)=2x23x2x2+x6. Find (A) limx2f(x) (B) limx0f(x) (C) limx1f(x) Problem 66E: Let f(x)=3x2+2x1x2+3x+2. Find (A) limx3f(x) (B) limx1f(x) (C) limx2f(x) Problem 67E: In Problems 6772, discuss the validity of each statement. If the statement is always true, explain... Problem 68E Problem 69E: In Problems 6772, discuss the validity of each statement. If the statement is always true, explain... Problem 70E: In Problems 6772, discuss the validity of each statement. If the statement is always true, explain... Problem 71E: In Problems 6772, discuss the validity of each statement. If the statement is always true, explain... Problem 72E: In Problems 6772, discuss the validity of each statement. If the statement is always true, explain... Problem 73E Problem 74E Problem 75E Problem 76E Problem 77E Problem 78E Problem 79E Problem 80E Problem 81E: Compute the following limit for each function in Problems 8188. limh0f(2+h)f(2)h 81. f(x) = 3x + 1 Problem 82E: Compute the following limit for each function in Problems 8188. limh0f(2+h)f(2)h 82. f(x) = 5x 1 Problem 83E: Compute the following limit for each function in Problems 8188. limh0f(2+h)f(2)h 83. f(x) = x2 + 1 Problem 84E: Compute the following limit for each function in Problems 8188. limh0f(2+h)f(2)h 84. f(x) = x2 2 Problem 85E: Compute the following limit for each function in Problems 8188. limh0f(2+h)f(2)h 85. f(x) = 7x + 9 Problem 86E: Compute the following limit for each function in Problems 8188. limh0f(2+h)f(2)h 86. f(x) = 4x + 13 Problem 87E: Compute the following limit for each function in Problems 8188. limh0f(2+h)f(2)h 87. f(x) = |x + 1| Problem 88E Problem 89E: Let f be defined by f(x)={1+mxifx14mxifx1 where m is a constant. (A) Graph f for m = 1, and find... Problem 90E: Let f be defined by f(x)={3m+0.5xifx23mxifx2 where m is a constant. (A) Graph f for m = 0, and find... Problem 91E: 91. Telephone rates. A long-distance telephone service charges $0.99 for the first 20 minutes or... Problem 92E Problem 93E Problem 94E Problem 95E: A company sells custom embroidered apparel and promotional products. Table 1 shows the volume... Problem 96E: A company sells custom embroidered apparel and promotional products. Table 1 shows the volume... Problem 97E: Pollution A state charges polluters an annual fee of 20 per ton for each ton of pollutant emitted... Problem 98E Problem 99E: Voter turnout. Statisticians often use piecewise-defined functions to predict outcomes of elections.... format_list_bulleted