Please Help me answer this question. I am struggling with this one. I would really appreciate it

5. For each of the following limits, decide if the limit exists or does not exist. If it does exist, find it. If it does not exist, explain or show why. If you know, L'Hopital's rule, you may not use it on these problems. (a) lim Nx - 3 r - x->9 x-9 (6) lim x- - 4 (d) lim X 4 x-lx-1"(C) lim x-2x3 - 8 x->4x-4 (e) lim (2+x)2-4 x->0 X (f) lim x +1 , (g) lim ex - In(x + 1) x- 0 x x->0 x+1 (h) lim tanx, (i) lim tan(x), and (j) lim csex. x- 0+ x -> NIA (k) lim x2 - 4 3x2 - 4x + 5 x-2x-2' (1) lim cot2 (x) , (m) lim 3x3 - 4x + 5 x-0 -x2+ 2x-5 (n) lim x-> 00 X-> -00 -x2+ 2x-5' lim - 4x + 5 x - -00 -x2+2x-5' , and (o) lim cot(x). x-> -00