Problem 1E: CONCEPT CHECK Polynomial Function Describe how to find the limit of a polynomial function p(x) as x... Problem 2E: Indeterminate Form What is meant by an indeterminate form? Problem 3E: Squeeze Theorem In your own words, explain the Squeeze Theorem. Problem 4E: CONCEPT CHECK Special Limits List the two special trigonometric limits. Problem 5E: Finding a Limit In Exercises 5-22. find the limit. limx2x3 Problem 6E: Finding a Limit In Exercises 5-22. find the limit. limx3x4 Problem 7E: Finding a Limit In Exercises 5-22. find the limit. limx3(2x+5) Problem 8E: Finding a Limit In Exercises 5-22. find the limit. limx9(4x1) Problem 9E: Finding a Limit In Exercises 5-22. find the limit. limx3(x2+3x) Problem 12E: Finding a Limit In Exercises 5-22. find the limit. limx1(2x36x+5) Problem 13E: Finding a Limit In Exercises 5-22, find the limit. limx3x+8 Problem 14E: Finding a Limit In Exercises 5-22, find the limit. limx212x+33 Problem 11E: Finding a Limit In Exercises 5-22. find the limit. limx3(2x2+4x+1) Problem 10E: Finding a Limit In Exercises 5-22. find the limit. limx2(x3+1) Problem 15E: Finding a Limit In Exercises 5-22, find the limit. limx4(1x)3 Problem 16E: Finding a Limit In Exercises 5-22, find the limit. limx0(3x2)4 Problem 17E: Finding a Limit In Exercises 5-22, find the limit. limx232x+1 Problem 18E: Finding a Limit In Exercises 5-22, find the limit. limx55x+3 Problem 19E: Finding a Limit In Exercises 5-22, find the limit. limx1xx2+4 Problem 20E: Finding a Limit In Exercises 5-22, find the limit. limx13x+5x+1 Problem 21E: Finding a Limit In Exercises 5-22, find the limit. limx73xx+2 Problem 22E: Finding a Limit In Exercises 5-22, find the limit. limx3x+6r+2 Problem 23E 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 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 Problem 32E: Finding a Limit of a Trigonometric Function In Exercises 27-36, find the limit of the trigonometric... Problem 33E: Finding a Limit of a Trigonometric Function In Exercises 27-36, find the limit of the trigonometric... Problem 34E: Finding a Limit of a Trigonometric Function In Exercises 27-36, find the limit of the trigonometric... Problem 35E: Finding a Limit of a Trigonometric Function In Exercises 27-36, find the limit of the trigonometric... Problem 36E Problem 37E: Evaluating Limits In Exercises 37-40, use the information to evaluate the limits.... Problem 38E Problem 39E Problem 40E 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 Problem 46E 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: Finding a Limit In Exercises 47-62, find the limit. limx0xx2x Problem 48E: Finding a Limit In Exercises 4762, find the limit. limx07x3x2x Problem 49E: Finding a Limit In Exercises 4762, find the limit. limx4x4x216 Problem 50E 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: Finding a Limit In Exercises 47-62, find the limit. limx0x+55x Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E: Finding a Limit In Exercises 47-62, find the limit. limx0(x+x)2x2x Problem 61E: Finding a Limit In Exercises 47-62, find the limit. limx0(x+x)22(x+x)+1(x22x+1)x 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 Problem 68E Problem 69E: Finding a Limit of a Trigonometric Function In Exercises 63-74, find the limit of the trigonometric... Problem 70E 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 Problem 75E: Graphical, Numerical, and Analytic Analysis In Exercises 75-82, use a graphing utility to graph the... Problem 76E: Graphical, Numerical, and Analytic Analysis In Exercises 75-82, use a graphing utility to graph the... Problem 77E: Graphical, Numerical, and Analytic Analysis In Exercises 75-82, use a graphing utility to graph the... Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E Problem 85E: Finding a Limit In Exercises 83-90, find limx0f(x+x)f(x)x f(x)=x24x Problem 86E: Finding a Limit In Exercises 83-90, find limx0f(x+x)f(x)x f(x)=3x2+1 Problem 87E: Finding a Limit In Exercises 83-90, find limx0f(x+x)f(x)x f(x)=2x Problem 88E: Finding a Limit In Exercises 83-90, find limx0f(x+x)f(x)x f(x)=x5 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 Problem 93E Problem 94E Problem 95E: Using the Squeeze Theorem In Exercises 93-96, use a graphing utility to graph the given function and... Problem 96E Problem 97E Problem 98E: Writing Functions Write a function of each specified type that has a limit of 4 as x approaches 8.... Problem 99E Problem 100E Problem 101E: Free-Falling Object In Exercises 101 and 102. use the position function s(t)=16t2+500, which gives... 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: Finding Functions Find two functions f and g such that limx0f(x) and limx0g(x) do not exist, but... Problem 106E Problem 107E Problem 108E: Proof Prove Property 3 of Theorem 1.1. (You may use Property 3 of Theorem 1.2.) Problem 109E Problem 110E Problem 111E Problem 112E Problem 113E Problem 114E: Think About ItWhen using a graphing utility to generate a table to approximate limx0sinxx a student... Problem 115E Problem 116E Problem 117E Problem 118E Problem 119E Problem 120E: True or False? In Exercises 115120, determine whether the statement is true or false. If it is... Problem 121E Problem 122E 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