WBJEE · Maths · Limits
\(\lim _{x \rightarrow 0}(\sin x)^{2 \tan x}\) is equal to
- A 2
- B 1
- C 0
- D does not exist
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
Let \(y=\lim _{x \rightarrow 0}(\sin x)^{2 \tan x}\) \(\Rightarrow \log y=\lim _{x \rightarrow 0} \log (\sin x)^{2 \tan x}\) \(=2 \lim _{x \rightarrow 0} \tan x \log \sin x\) \(=2 \lim _{x \rightarrow 0} \frac{\log \sin x}{\cot x}\)…
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