Please answer this question with a detailed explanation

Find the average rate of change of the function over the given intervals g () = 2 + cost ), Lo, I ], [- 1, I ] 2 Plo- 20 1 2 23 20 - 2 (f 3 4 x 3 a Find him 2cast too) and him fox ) 6: Does lim Ibc) exset ? if so, what is it? if not, why 20-73 C . Find lim 120-79+ of fox) and him fox ) 20 -7 9 d. Does lim foe) exist at every C in the open Intend ( 1,3 )