Problem 1E: CONCEPT CHECK Polynomial Function Describe how to find the limit of a polynomial function p(x) as x... Problem 2E Problem 3E: Squeeze Theorem In your own words, explain the Squeeze Theorem. Problem 4E Problem 5E Problem 6E: Finding a Limit In Exercises 5-22. find the limit. limx3x4 Problem 7E Problem 8E: Finding a Limit In Exercises 5-22. find the limit. limx9(4x1) Problem 9E Problem 12E Problem 13E Problem 14E Problem 11E Problem 10E Problem 15E Problem 16E: Finding a Limit In Exercises 5-22, find the limit. limx0(3x2)4 Problem 17E Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E: Finding a Limit In Exercises 5-22, find the limit. limx3x+6r+2 Problem 23E: Finding Limits In Exercises 23-26, Find the limits. f(x)5x,g(x)=x3 (a) limx1f(x) (b) limx4g(x) (c)... Problem 24E: Finding Limits In Exercises 23-26, Find the limits. f(x)=x+7,g(x)=x2 (a) limx3f(x) (b) limx4g(x) (c)... Problem 25E: Finding Limits In Exercises 23-26, Find the limits. f(x)4x2,g(x)=x+1 (a) limx1f(x) (b) limx3g(x) (c)... Problem 26E Problem 27E: Finding a Limit of a Trigonometric Function In Exercises 27-36, find the limit of the trigonometric... Problem 28E Problem 29E: Finding a Limit of a Trigonometric Function In Exercises 27-36, find the limit of the trigonometric... Problem 30E: Finding a Limit of a Trigonometric Function In Exercises 27-36, find the limit of the trigonometric... Problem 31E: Finding a Limit of a Trigonometric Function In Exercises 27-36, find the limit of the trigonometric... Problem 32E Problem 33E: Finding a Limit of a Trigonometric Function In Exercises 27-36, find the limit of the trigonometric... Problem 34E Problem 35E Problem 36E Problem 37E Problem 38E: Evaluating Limits In Exercises 37-40, use the information to evaluate the limits.... Problem 39E: Evaluating Limits In Exercises 37-40, use the information to evaluate the limits. limxcf(x)=16 (a)... Problem 40E: Evaluating Limits In Exercises 37-40, use the information to evaluate the limits. limxcf(x)=27 (a)... Problem 43E: Finding a Limit In Exercises 41-46, write a simpler function that agrees with the given function at... Problem 44E: Finding a Limit In Exercises 41-46, write a simpler function that agrees with the given function at... Problem 45E: Finding a Limit In Exercises 41-46, write a simpler function that agrees with the given function at... Problem 46E: Finding a Limit In Exercises 41-46, write a simpler function that agrees with the given function at... Problem 41E: Finding a Limit In Exercises 41-46, write a simpler function that agrees with the given function at... Problem 42E: Finding a Limit In Exercises 41-46, write a simpler function that agrees with the given function at... Problem 47E Problem 48E Problem 49E: Finding a Limit In Exercises 4762, find the limit. limx4x4x216 Problem 50E: Finding a Limit In Exercises 4762, find the limit. limx55xx225 Problem 51E: Finding a Limit In Exercises 47-62, find the limit. limx3x2+x6x29 Problem 52E: Finding a Limit In Exercises 47-62, find the limit. limx2x2+2x8x2x2 Problem 53E: Finding a Limit In Exercises 47-62, find the limit. limx4x+53x4 Problem 54E: Finding a Limit In Exercises 47-62, find the limit. limx3x+12x3 Problem 55E Problem 56E Problem 57E: Finding a Limit In Exercises 47-62, find the limit. limx0[1/(3+x)](1/3)x Problem 58E Problem 59E: Finding a Limit In Exercises 47-62, find the limit. limx02(x+x)2xx Problem 60E: Finding a Limit In Exercises 47-62, find the limit. limx0(x+x)2x2x Problem 61E Problem 62E: Finding a Limit In Exercises 47-62, find the limit. limx0(x+x)3x3x Problem 63E: Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the trigonometric... Problem 64E: Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the trigonometric... Problem 65E: Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the trigonometric... Problem 66E: Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the trigonometric... Problem 67E: Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the trigonometric... Problem 68E: Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the trigonometric... Problem 69E: Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the trigonometric... Problem 70E: Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the trigonometric... Problem 71E Problem 72E: Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the trigonometric... Problem 73E Problem 74E: Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the Trigonometric... Problem 75E Problem 76E Problem 77E Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E: Finding a Limit In Exercises 83-90, find limx0f(x+x)f(x)x f(x)=6x+3 Problem 85E Problem 86E: Finding a Limit In Exercises 83-90, find limx0f(x+x)f(x)x f(x)=3x2+1 Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E: Using the Squeeze Theorem In Exercises 91 and 92, use the Squeeze Theorem to find limxcf(x). c=0... Problem 92E: Using the Squeeze Theorem In Exercises 91 and 92, use the Squeeze Theorem to find limxcf(x). c=a... Problem 93E: Using the Squeeze Theorem In Exercises 93-96, use a graphing utility to graph the given function and... Problem 94E: Using the Squeeze Theorem In Exercises 93-96, use a graphing utility to graph the given function and... Problem 95E Problem 96E Problem 97E: Functions That Agree at All but One Point (a) In the context of finding limits, discuss what is... Problem 98E Problem 99E Problem 100E: HOW DO YOU SEE IT? Would you use the dividing out technique or the rationalizing technique to find... Problem 101E Problem 102E: Free-Falling Object In Exercises 101 and 102. use the position function s(t)=16t2+500, which gives... Problem 103E: Free-Falling Object In Exercises 103 and 104, use the position function s(t)=4.9t2+200, which gives... Problem 104E: Free-Falling Object In Exercises 103 and 104, use the position function s(t)=4.9t2+200, which gives... Problem 105E Problem 106E Problem 107E: Proof Prove Property 1 of Theorem 1.1. Problem 108E: Proof Prove Property 3 of Theorem 1.1. (You may use Property 3 of Theorem 1.2.) Problem 109E: Proof Prove Property 1 of Theorem 1.2. Problem 110E Problem 111E Problem 112E Problem 113E Problem 114E Problem 115E Problem 116E Problem 117E Problem 118E: True or False? In Exercises 115-120, determine whether the statement is true or false. If it is... Problem 119E Problem 120E Problem 121E Problem 122E: Piecewise Functions Let f(x)={0,ifxisratioinal1,ifxisratioinal and... Problem 123E: Graphical Reasoning Consider f(x)=secx1x2. (a) Find the domain of f. (b) Use a graphing utility to... Problem 124E: Approximation (a) Find limx01cosxx2. (b) Use your answer to part (a) to device the approximation... format_list_bulleted