with solution typewritten much better

I. TRUE OR FALSE Directions; Determine whether each statement is true or false. If true, leave the item blank. If false, provide a counterexample. [2 points] 1. The limit of f (x) as x approaches c does not exist, if f is undefined at x = c. 2. If lim /42 = 1, then lim f(x) and lim g(x) both exist and are equal. x-a g(x) x-+a x-a II. SHORT RESPONSE Directions: Answer each question completely. Show ALL relevant work. [4 points] 1. Use the Intermediate Value Theorem to find an interval of length 1 in which a solution to the equation 2x3 + x = 5 must exist. 2. Find the value of the parameter k to make lim 2x3+3x3+kx-12 exist and be finite. x-+-2 x+2 What is then the value of the limit? [2 points] 3. Use any graphing utility to identify and estimate lim tan x. Verify your answer using a table of values. NOTE: Attach the graph here