Question

please help me to solve this!!!!​

Answer 1

Answer:

(1 + sin x)^cot x

log (1 + sin x)^cot x  = cot x log (1 + sin x) = cot x log (sin x)

= log (sin x) / tan x

Applying L' Hopital's rule

[1 / sin x * cos x] / sec^2 x = cos^3 x / sin x

lim (x->0)  cos^3 x / sin x = 1 / 0

So the limit does not exist