Problem 1E: Classify each statement as either true or false.
1.
Problem 2E Problem 3E: Classify each statement as either true or false. If limx1g(x)=5,thenlimx1[g(x)]2=25. Problem 4E: Classify each statement as either true or false.
4. If .
Problem 5E: Classify each statement as either true or false. If g is discontinuous at x=3,theng(3) must not... Problem 6E: Classify each statement as either true or false. If f is continuous at x=2,thenf(2) must exist. Problem 7E: Classify each statement as either true or false.
7. If exists, then F must be continuous at.
Problem 8E: Classify each statement as either true or false. If limx7G(x) equals G(7), then G must be continuous... Problem 9E: Use the theorem on limits of rational functions to find each limit. When necessary, state that the... Problem 10E: Use the theorem on limits of rational functions to find each limit. When necessary, state that the... Problem 11E: Use the theorem on limits of rational functions to find each limit. When necessary, state that the... Problem 12E: Use the theorem on limits of rational functions to find each limit. When necessary, state that the... Problem 13E: Use the theorem on limits of rational functions to find each limit. When necessary, state that the... Problem 14E: Use the theorem on limits of rational functions to find each limit. When necessary, state that the... Problem 15E: Use the theorem on limits of rational functions to find each limit. When necessary, state that the... Problem 16E: Use the theorem on limits of rational functions to find each limit. When necessary, state that the... Problem 17E: Use the theorem on limits of rational functions to find each limit. When necessary, state that the... Problem 18E: Use the theorem on limits of rational functions to find each limit. When necessary, state that the... Problem 19E: For Exercises 19-30, the initial substitution of x=a yields the form 0/0. Look for ways to simplify... Problem 20E: For Exercises 19-30, the initial substitution of yields the form 0/0. Look for ways to simplify the... Problem 21E: For Exercises 19-30, the initial substitution of yields the form 0/0. Look for ways to simplify the... Problem 22E: For Exercises 19-30, the initial substitution of yields the form 0/0. Look for ways to simplify the... Problem 23E: For Exercises 19-30, the initial substitution of x=a yields the form 0/0. Look for ways to simplify... Problem 24E: For Exercises 19-30, the initial substitution of yields the form 0/0. Look for ways to simplify the... Problem 25E: For Exercises 19-30, the initial substitution of yields the form 0/0. Look for ways to simplify the... Problem 26E: For Exercises 19-30, the initial substitution of x=a yields the form 0/0. Look for ways to simplify... Problem 27E: For Exercises 19-30, the initial substitution of x=a yields the form 0/0. Look for ways to simplify... Problem 28E: For Exercises 19-30, the initial substitution of yields the form 0/0. Look for ways to simplify the... Problem 29E: For Exercises 19-30, the initial substitution of x=a yields the form 0/0. Look for ways to simplify... Problem 30E: For Exercises 19-30, the initial substitution of yields the form 0/0. Look for ways to simplify the... Problem 31E: Use the Limit Properties to find the following limits. If a limit does not exist, state that fact.... Problem 32E: Use the Limit Properties to find the following limits. If a limit does not exist, state that... Problem 33E: Use the Limit Properties to find the following limits. If a limit does not exist, state that fact.... Problem 34E: Use the Limit Properties to find the following limits. If a limit does not exist, state that... Problem 35E: Use the Limit Properties to find the following limits. If a limit does not exist, state that... Problem 36E: Use the Limit Properties to find the following limits. If a limit does not exist, state that... Problem 37E: Determine whether each of the function show in Exercises 37-41, is continuous over the... Problem 38E: Determine whether each of the function show in Exercises 37-41, is continuous over the interval... Problem 39E: Determine whether each of the function show in Exercises 37-41, is continuous over the... Problem 40E: Determine whether each of the function show in Exercises 37-41, is continuous over the... Problem 41E: Determine whether each of the function show in Exercises 37-41, is continuous over the... Problem 42E: Use the graphs and functions in Exercises 37-41 to answer each of the following. If an expression... Problem 43E: Use the graphs and functions in Exercises 37-41 to answer each of the following. If an expression... Problem 44E: Use the graphs and functions in Exercises 37-41 to answer each of the following. If an expression... Problem 45E: Use the graphs and functions in Exercises 37-41 to answer each of the following. If an expression... Problem 46E: Use the graphs and functions in Exercises 37-41 to answer each of the following. If an expression... Problem 47E: Answer Exercises 47-48 using the graph provided.
47.
a. Find .
b. Find .
c. Find .
d. Find... Problem 48E: Answer Exercises 47-48 using the graph provided.
48. Consider the function
Find .
Find... Problem 49E: 49. Is the function given by continuous at ? Why or why not?
Problem 50E: Is the function given by f(x)=3x2 continuous at x=5? Why or why not? Problem 51E: Is the function given by G(x)=1x continuous at x=0? Why or why not? Problem 52E: Is the function given by F(x)=x continuous at x=1? Why or why not? Problem 53E: Is the function given by f(x)={12x+1,forx4,x+7,forx4, Continuous at x=4? Why or why not? Problem 54E: Is the function given by g(x)={13x+4,forx3,2x1,forx3, continuous at x=3? Why or why not? Problem 55E: Is the function given by F(x)={13x+4,forx3,2x5,forx3, Continuous at x=3? Why or why not? Problem 56E: 56. Is the function given by
Continuous at? Why or why not?
Problem 57E: Is the function given by g(x)={12x+1,forx4,x+7,forx4, Continuous at x=4? Why or why not? Problem 58E: Is the function given by f(x)={13x+4,forx3,2x1,forx3, Continuous at x=3? Why or why not? Problem 59E: 59. Is the function given by
Continuous at? Why or why not?
Problem 60E: Is the function given by F(x)={x21x1,forx1,4,forx=1, Continuous at x=1? Why or why not? Problem 61E: Is the function given by G(x)={x23x4x4,forx42x3,forx4, Continuous at x=4? Why or why not? Problem 62E: 62. Is the following given by
Continuous at? Why or why not?
Problem 63E: Is the function given by g(x)=1x27x+10 continuous at x=5? Why or why not? Problem 64E: 64. Is the function given by continuous at? Why or why not?
Problem 65E: Is the function given by G(x)=1x26x+8 continuous at x=2? Why or why not? Problem 66E: 66. Is the function given by continuous at? Why or why not?
Problem 67E: 67. Is the function given by continuous over the interval? Why or not why?
Problem 68E: 68. Is the function given by continuous over the interval why or why not?
Problem 69E: Is the function given by G(x)=1x1 continuous over the interval (0,)? why or why not? Problem 70E: Is the function given by f(x)=1x+3 continuous over the interval (7,7)? Why or why not? Problem 71E: 71. Is the function given by continuous on?
Problem 72E: 72. Is the function given by continuous on?
Problem 73E: Business and Economics
73. The candy factory sells candy by the pound, charging $1.50 per pound for... Problem 74E: Business and Economics The candy Shoppe charge $0.08 per copy for quantities up to and including 100... Problem 75E: A lab technician controls the temperature T inside a kiln. From an initial temperature of 0 degrees... Problem 76E: 76. In Exercises 73, let
Find k such that the price function p is continuous at.
Problem 77E: In Exercises 74, let p(x)={0.08x,forx100,0.06x+k,forx100. Find k such that the price function p is... Problem 78E: Find each limit, if it exists. If a limit does not exist, state that fact. a. limx0|x|x b.... Problem 79E: In Exercises 7986, find each limit. Use TABLE and start with Tbl=0.1 Then use 0.01, 0.001, and... Problem 80E: In Exercises 7986, find each limit. Use TABLE and start with Tbl=0.1 Then use 0.01, 0.001, and... Problem 81E: In Exercises 7986, find each limit. Use TABLE and start with Tbl=0.1 Then use 0.01, 0.001, and... Problem 82E: In Exercises 79–86, find each limit. Use TABLE and start with Then use 0.01, 0.001, and 0.0001.... Problem 83E: In Exercises 7986, find each limit. Use TABLE and start with Tbl=0.1 Then use 0.01, 0.001, and... Problem 84E: In Exercises 79–86, find each limit. Use TABLE and start with Then use 0.01, 0.001, and 0.0001.... Problem 85E: In Exercises 7986, find each limit. Use TABLE and start with Tbl=0.1 Then use 0.01, 0.001, and... Problem 86E: In Exercises 79–86, find each limit. Use TABLE and start with Then use 0.01, 0.001, and 0.0001.... format_list_bulleted