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Question: Answered & Verified by Expert
If $\lim _{x \rightarrow 0}\left(\frac{1+c x}{1-c x}\right)^{1 / x}=4$, then $\lim _{x \rightarrow 0}\left(\frac{1+2 c x}{1-2 c x}\right)^{1 / x}$ is
MathematicsLimitsWBJEEWBJEE 2020
Options:
  • A 2
  • B 4
  • C 16
  • D 64
Solution:
1015 Upvotes Verified Answer
The correct answer is: 16
Hint:
$\mathrm{e}^{2 \mathrm{c}}=4 \Rightarrow \mathrm{e}^{4 \mathrm{c}}=16$

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