WBJEE · Maths · Limits
\(\lim _{x \rightarrow 0}\left(\frac{1}{x} \ln \sqrt{\frac{1+x}{1-x}}\right)\) is
- A \(1 / 2\)
- B 0
- C 1
- D does not exist
Answer & Solution
Correct Answer
(C) 1
Step-by-step Solution
Detailed explanation
\(\lim _{x \rightarrow 0} \frac{1 / 2(\ln (1+x)-\ln (1-x))}{x}\) \(=\frac{1}{2} \lim _{x \rightarrow 0}\left(\frac{1}{1+x}+\frac{1}{1-x}\right)=1\)
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