1.

(1 point) Let P and Q be polynomials such that P, Q ;> 0 for all 3:. Evaluate each of the following limits. P (3) H131 (1:) = if the degree of P is less than the degree of Q. 3}00 Q($) P (in) 11.131 (1:) = if the degree of P is greater than the degree of Q. 3}00 Q($) Note: Input DNE, infinity, and -infinity for does not exist, co, and oo, respectively. (1 point) x + 10 Find the horizontal and vertical asymptotes of y = 4x2 + 3x + 2 Vertical Asymptotes: x = NONE and a = NONE Horizontal Asymptotes: y = and y = Note: List results in increasing order. If there aren't any, type NONE.(1 point) Use the precise definition of a limit to find the largest possible & dependent on e such that lim 9x - 4 = 77 Note: Use E to represent c in your answer 6 =r+2 ifs 1 Answer: r E Note: Input U, infinity, and -infinity for union, oo, and -oo, respectively.r - 6 (1 point) Use interval notation to indicate where f (a ) = is continuous. (z - 3) (2 + 2) Answer: x E Note: Input U, infinity, and -infinity for union, oo, and -oo, respectively.(1 point) Use interval notation to indicate where f (a ) = is continuous. 1 + el/I Answer: I E Note: Input U, infinity, and -infinity for union, oo, and -oo, respectively.(1 point) Suppose f(a) = -3x2 + 1. Evaluate the following limit. f( -3 + h) - f(-3) lim = h-0 h Note: Input DNE, infinity, -infinity for does not exist, oo, and -oo, respectively.(1 point) Suppose f(2:} = 72:2 + C, where C is anyr real number. Then the expression f(2 + h) ft?) h can be written in the form Ah + 3(2), where A and B are constants. Find: (3)142 4 5342 (1 point) Suppose f(:.-:} 2 .Then the expression w It can be written in the form A where a. A B C and D are constants. Find: (Ba+0h+2)(Da+2)' ' ' = = (a) A = (b) B = (c) C = (d) D = (e) f'(1) =