1. [5pts each] Find each limit. Justify any use of L'Hopital's rule. x2 - 25 a) lim x-5 In(11 - 2x) 2. For the function f, complete the following. f(x) = -0.5x2 - In(3 - x) A) [2 pts] Find the domain of f. Domain: B) [5 pts] Find f"(x). Show your work clearly and simplify your answer. b) 2x2 + 5x lim x-0 4x - 3+ 3ex C) [8 pts] By constructing an appropriate sign chart, fill in the blanks below. Show your work clearly. f has an inflection point at x = The graph of f is concave upward on interval: The graph of f is concave downward on interval: Construct an appropriate sign chart below. 4 In(x - 3) c) lim 5x - 2