limits

How to solve this one?
value of lim x->0 loge(sinx)^tanx

3 Answers

1
rancho6 ·

Anrwer is 0.

As lim (x→0), sin x≈x and tan x≈x.

.: it becomes lim (x→0) x log x
Above form is 0 X ∞, convert it into ∞/∞ and use L' HOSPITAL RULE. You will get the answer.

262
Aditya Bhutra ·

i think limit does not exist
since for x→0- sinx will be negative and the logarithm wont be defined

1
rishabh ·

@aditya
well in that case we must concentrate only on RHL.

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