I need help on these 4 calculus questions:

\fWhich of the following statements is FALSE? O lim f(x) does not exist x-1 O lim f(x) = 2 x--1+ O lim f(x) = 3 x-+0 O lim f(x) = 1 x- 3- O lim f(x) = 0 x-+ 2+Question 2 (1 point) Let A be a positive constant. Let f be a function such that f() = 5 and f' (It) = 2. If g(x) = In((f(x)) + A cosx), then g' () equals O1 O 10 25 - A O 25 25 + A O 20 25 - A 01 25Question 3 (1 point) Letf be a function such that 1imf(x) = 0. x>0 What is the value of limf(x)sin()? x>O O This limit does not exist. 0 0 O l 2 01 2 Q There is not enough information given to determine whether or not this limit exists. Question 4 (1 point) Let f be a function which is continuous for all x with the following properties: f(-3) = 0, f(3) = 4, and lim f(x) = 0. * + 00 Which of the following assertions is always TRUE? There exists a c on the interval (-3, 3) such that f(c) = -2. Of ( 1.5) = 3 There exists a c on the interval (0, 4) such that f(c) = 2. There exists an A > 3 such that f(A) = 1000. There exists a c on the interval (-3, 3) such that f(c) = 2