Question: 2. Fill in each blank so that the resulting statement is true. If lim f(x) =L and lim f(x) = L, then lim f(x) _.

f(x) = M, where L # M, then lim f(x) (1) x-a

x-a* x-a (1) 0 = +L. O does not exist. O =

2. Fill in each blank so that the resulting statement is true. If lim f(x) =L and lim f(x) = L, then lim f(x) _. x-a x-at x-a If lim f(x) =L and lim f(x) =L, then lim f(x) (1) x-a x-at x- a (1) 0 = L. O = L. O #L. O does not exist. 3. Fill in each blank so that the resulting statement is true. If lim f(x) =L and lim f(x) = M, where L # M, then lim f(x) _. x-a x-at x-a If lim f(x) =L and lim f(x) = M, where L # M, then lim f(x) (1) x-a x-a* x-a (1) 0 = +L. O does not exist. O = L. O #L. 4. Use the table to find lim 3x . X- - 12 X - 12.01 - 12.001 - 12.0001 - - - 11.9999 - 11.999 - 11.99 f(x) = 3x2 432.7203 432.0720 432.0072 - 431.9928 431.9280 431.2803 lim 3x = X- - 125. Construct a table to find the indicated limit. lim 7x x- - 2 Complete the table below. X - 2.01 - 2.001 - 2.0001 - 1.9999 - 1.999 - 1.99 f(x) = 7x 2 - + (Simplify your answers. Round to four decimal places as needed.) lim 7x = (Type an integer or a decimal.) x- -2 6. Construct a table and find the indicated limit. X lim x- - 2X - 2 Complete the table below. X - 2.01 - 2.001 -2.0001 - - 1.9999 - 1.999 - 1.99 X f(x) = - 2 (Simplify your answers. Round to four decimal places as needed.) X lim (Type an integer or a decimal.) x- -2X 2-27. Use the graph of f to find the indicated limit and function value. a. lim f(x) X- - 2 b. f( - 2 ) y=f(x) a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. lim f(x) = x- -2 O B. The limit does not exist. b. f( - 2) = 8. Use the graph of f to find the indicated limit and function value. a. lim f(x) b. f(3 ) x-3 a. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = x-3 O B. The limit does not exist. b. f(3) =9. Use the graph to find the following limits and function value. a. lim f(x) x-27 b. lim f(x) X-2" c. lim f(x) x-2 d. f(2) a. Find the limit. Select the correct choice below and fill in any answer boxes in your choice. OA. lim f(x) = (Type an integer.) x-2" O B. The limit does not exist. b. Find the limit. Select the correct choice below and fill in any answer boxes in your choice. OA. lim f(x) = (Type an integer.) x-2* O B. The limit does not exist. c. Find the limit. Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = (Type an integer.) X-2 OB. The limit does not exist. d. Find the function value. Select the correct choice below and fill in any answer boxes in your choice. OA. f(2) = (Type an integer.) O B. The answer is undefined.10. The graph of a function is given. Use the graph to find the indicated limits and function values, or state that the limit or function value does not exist. a. lim f(x) b. lim f(x) lim f(x) d. f( -9) x- -9 x- -9 X- -9 e. lim f(x) f. lim f(x) g. lim f(x) h. f( - 3) X- -3 X- -3 X- -3 i. lim f(x) j. lim f(xx) k. lim f(x) 1. f(9) 42 x-+9- x-+9* a. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. -9 A. lim f(x) = * -97 O B. The limit does not exist. b. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x- -9 O A. lim f(x)= 4-9* O B. The limit does not exist. c. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. *- -9 O A. lim f(x) = x- -9 O B. The limit does not exist. d. Find f( - 9). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f(-9)= O B. f( -9) is undefined. e. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X- -3 O A. lim f(x) = * -3 O B. The limit does not exist. f. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x- - 3+ O A. lim f(x) = O B. The limit does not exist.g. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x- - 3 O A. lim f(x) = X- - 3 B. The limit does not exist. h. Find f( - 3). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. ://xlitemprod.pearsonomg.com/api/v1/print/highered 22, 9:16 PM Sec 11.1-Adriana Lumbreras O B. =3) is undefined. i. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x-9 O A. lim f(x) = x-9 O B. The limit does not exist. j. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x-g+ O A. lim f(x) = O B. The limit does not exist. k. Find lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. *+9 A. lim f(x) = x-+9 B. The limit does not exist. 1. Find f(9). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ((9) = O B. f(9) is undefined.11. The graph of a function is given. Use the graph to find the indicated limits and function values, or state that the limit or function value does not exist. a. lim f(x) b. lim f(x) c. lim f(x) d. f(3) x-+3- x-+3 e. lim f(x) f. lim f(x) g. lim f(x) h. f(4.5) x-+4.5- *-+4.5+ *+4.5 a. Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = (Type an integer or a simplified fraction.) X-+3 O B. The limit does not exist. b. Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = (Type an integer or a simplified fraction.) x-3' O B. The limit does not exist. c. Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = (Type an integer or a simplified fraction.) x-3 O B. The limit does not exist. d. f(3) = (Type an integer or a simplified fraction.) e. Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = (Type an integer or a simplified fraction.) x +4.5" O B. The limit does not exist. f. Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = (Type an integer or a simplified fraction.) x-+4.5* O B. The limit does not exist. g. Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = (Type an integer or a simplified fraction.) X-+4.5 O B. The limit does not exist.h. f(4.5) = (Type an integer or a simplified fraction.) https://xlitemprod.pearsoncig.com/spi/v1/print/highered 12/4/22, 9:16 PM Sec 11.1-Adriana Lumbreras 12. Graph the function f(x) =9 In x. Then use the graph to find the limit lim f(x), or state that the limit does not exist. 12- x-1 Use the graphing tool to graph the function. Find the limit lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. -12 -10 - -6- 12 O A. lim f(x) = x-1 (Type an integer or a decimal.) O B. The limit does not exist

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