Hi i need help with 2.c, 2.e and 3

2. Find the following limits. (a) lim (1 + x2) 2. (b) lim (1 + sin(3x) ) cot z (c) lim (ex + x)-. (d) lim 3x - 2x . (e) lim zinc 3. Compute the derivative f'(x) of f(x) (Hint: you may use logarithmic differen- tiation; do not simplify the result): cos 3x cos 9x f (ac ) = 3x tan 9x e x 3 . In(9x)