Please, I need help with these two questions with explanation..

Please I need the hand writing to be very easy to understand..

For question 2, Please I need it with taking derivative not only applying the limit.

Hint for question 3, it is a rational function.

2) Evaluate each limit, if it exists: a) lim (2 + x) -16 x- 2 b) lim (3- x) - 9 x-6 () lim 49- (5 + x) 1-+2 x- 2 1 d) lim X e) lim x- 16 141 x+2 f) lim x3 - 1 mix-x- 3x+33) For the following: a) Sketch the graph of a function y = f(x) that satisfies all of the following conditions: . lim f(x) = -co and lim /(x) = +oo . lim /(x) - 2 and lim /(x) = 2 . f(4) = 3 and /(6) = 1 b) Write a possible equation for this function. Explain your choice