Problem 1E: CONCEPT CHECK Continuity In your own words, describe what it means for a function to be continuous... Problem 2E Problem 3E: CONCEPT CHECK Existence of a Limit Determine whether limx3f(x) exists. Explain.... Problem 4E: Intermediate Value Theorem In your own words, explain the Intermediate Value Theorem. Problem 5E: Limits and Continuity In Exercises 5-10, use the graph to determine each limit, and discuss the... Problem 6E: Limits and Continuity In Exercises 5-10, use the graph to determine each limit, and discuss the... Problem 7E: Limits and Continuity In Exercises 5-10, use the graph to determine each limit, and discuss the... Problem 8E: Limits and Continuity In Exercises 5-10, use the graph to determine each limit, and discuss the... Problem 9E: Limits and Continuity In Exercises 5-10, use the graph to determine each limit, and discuss the... Problem 10E: Limits and Continuity In Exercises 5-10, use the graph to determine each limit, and discuss the... Problem 11E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 12E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 13E Problem 14E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 15E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 16E Problem 17E Problem 18E Problem 19E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 26E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 27E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 28E Problem 29E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 30E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 31E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 32E: Finding a Limit In Exercises 11-32, find the limit (if it exists). If it does not exist, explain... Problem 33E: Continuity of a Function In Exercises 33-36, discuss the continuity of the function. f(x)=1x24 Problem 34E Problem 35E Problem 36E: Continuity of a Function In Exercises 33-36, discuss the continuity of the function.... Problem 37E: Continuity on a Closed Interval In Exercises 37-40, discuss the continuity of the function on the... Problem 38E Problem 39E: Continuity on a Closed Interval In Exercises 37-40, discuss the continuity of the function on the... Problem 40E: Continuity on a Closed Interval In Exercises 37-40, discuss the continuity of the function on the... Problem 41E: Removable and Nonremovable Discontinuities In Exercises 41-60, find the x- values (if any) at which... Problem 42E Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E: Removable and Nonremovable Discontinuities In Exercises 41-60, find the x-values (if any) at which f... Problem 48E Problem 49E: Removable and Nonremovable Discontinuities In Exercises 41-60, find the x-values (if any) at which f... Problem 50E Problem 51E: Removable and Nonremovable Discontinuities In Exercises 41-60, find the x- values (if any) at which... Problem 52E Problem 53E Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E: Making a Function Continuous In Exercises 61-66, find the constant a such that the function is... Problem 62E: Making a Function Continuous In Exercises 61-66, find the constant a such that the function is... Problem 63E: Making a Function Continuous In Exercises 61-66, find the constant a such that the function is... Problem 64E: Making a Function Continuous In Exercises 61-66, find the constant a such that the function is... Problem 65E: Making a Function Continuous In Exercises 61-66, find the constant a such that the function is... Problem 66E: Making a Function Continuous In Exercises 61-66, find the constant a such that the function is... Problem 67E: Continuity of a Composite Function In Exercises 67-70, discuss the continuity of the composite... Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E: Testing for Continuity In Exercises 75-82, describe the interval(s) on which the function is... Problem 76E Problem 77E: Testing for Continuity In Exercises 75-82, describe the interval(s) on which the function is... Problem 78E: Testing for Continuity In Exercises 75-82, describe the interval(s) on which the function is... Problem 79E Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E Problem 85E Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E Problem 94E Problem 95E Problem 96E: Using the Intermediate Value Theorem In Exercises 91-98, use the Intermediate Value Theorem and a... Problem 97E Problem 98E Problem 99E Problem 100E Problem 101E Problem 102E Problem 103E Problem 104E Problem 105E Problem 106E Problem 107E: Continuity of Combinations of Functions If the functions f and g are continuous for all real x, is... Problem 108E: Removable and Nonremovable Discontinuities Describe the difference between a discontinuity that is... Problem 109E Problem 110E: True or False? In Exercises 109-114, determine whether the statement is true or false. If it is... Problem 111E Problem 112E Problem 113E: True or False? In Exercises 109-114, determine whether the statement is true or false. If it is... Problem 114E: True or False? In Exercises 109-114, determine whether the statement is true or false. If it is... Problem 115E Problem 116E: HOW DO YOU SEE IT? Every day you dissolve 28 ounces of chlorine in a swimming pool. The graph shows... Problem 117E Problem 118E Problem 119E: Dj Vu At 8:00 a.m. on Saturday, a man begins running up the side of a mountain to his weekend... Problem 120E: Volume Use the Intermediate Value Theorem to show that for all spheres with radii in the interval... Problem 121E: Proof Prove that if f is continuous and has no zeros on [a,b], then either.... Problem 122E: Dirichlet Function Show that the Dirichlet function f(x)={0,ifxisrational1,ifxisirrational is not... Problem 123E Problem 124E Problem 125E Problem 126E: Creating Models A swimmer crosses a pool of width b by swimming in a straight line from (0,0) to... Problem 127E: Making a Function Continuous Find all values of c such that f is continuous on (,). f(x)={1x2,xcx,xc Problem 128E Problem 129E Problem 130E Problem 131E Problem 132E Problem 133E Problem 134E format_list_bulleted