Chapter 11 - Limits Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use a calculator to estimate the limit. 1) lim X2 + 25 1) X-5 X+5 A) Does not exist B) 0 C ) 5 D) 10 Solve the problem. 2) The cost of manufacturing a particular videotape is c(x) = 15,000 + 7x, where x is the number of 2) tapes produced. The average cost per tape, denoted by c (x), is found by dividing c(x) by x. Find lim X- 5000 c (x ) . A) 10 B) 14 C) 6 D) Does not exist Use the properties of limits to evaluate the limit if it exists. lim x2 - 2x - 15 x- - 3 X + 3 3) 4) 5 B) 0 C) Does not exist D) -8 4) lim x2 - 2x - 15 X- 5 x + 3 4) A ) Does not exist B) 5 C) -8 D) O lim x3 + 12x2 - 5x 5) x- 0 5) 5x A) - 1 B) 5 C) Does not exist D) O Use the limit properties to find the following limit. 6) If lim f(x) = 4, find lim Vf (x ). 6) X- -3 X- -3 A) 16 B) 4 C) -3 D) 2 Use a calculator to estimate the limit. 7) lim Vx2 + 8x + 16 7) X- 3 A) +7 B) Does not exist C) 49 D ) 7 Use the properties of limits to evaluate the limit if it exists. lim 2x - 7 8) x- 1 4x + 5 8) 5 co B) - - C) Does not exist D) - lim ~x - 7 9) x- 7 x - 49 9) A ) Does not exist B) VI .1 42 - 6 C) 0 D) 6 - 10) lim X- 2 (X3 + 5x2 - 7x + 1) 10) A) 15 B) 29 C) Does not exist D) O