1. Use the graph of f(x) in the figure to find the following values or state that they do not exist. (17 pts.) Find the following: a. lim f (x) b. lim f (x) c. lim f (x) X -+ 5 d. f' (-2) e. f'(0) f. f'(4) g. f (-1) h. f (0) i. fif (x)dx j. The interval(s) where f'(x) 0 1. Find the values of x where f (x) is not differentiable.2. Determine whether the following statements are true or false.(16 pts) a. If f(c) = L, and lim f(x) = L, then f (x) is continuousat x = C. x->c b. If f (x) is continuous at x = a, then f'(a) must exist . c. If lim f(x) =co then x = a, is a horizontal asymptote . x ->a d. If f (1) is undefined then f (x ) cannot be continuous at x = 1. e. The function f(x ) = e * is continuous on the whole real line. f. The value of (" f(x)dx =0 . g. The value of secxdx = In sec x + tan x + C h. f(x ) is a rational function of the form P(x) then f(x) has vertical q(x) asymptotes where q(x) =0 (i.e., where the denominator is zero)