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Question

$$\begin{matrix} lim \\ x\rightarrow 0 \end{matrix}\left( \dfrac { 1+tan\quad x }{ 1+sin\quad x }  \right) ^{ cosecx }is\quad equal\quad to$$ __________.


A
1e
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B
1
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C
e
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D
e2
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Solution

The correct option is B 1

Formula used

$$\displaystyle \lim _{x\to\infty}f(x)^{g(x)}=e\,^{\displaystyle \lim _{x\to\infty}[(f(x)-1){g(x)}]}$$


1482486_1444259_ans_144adca39916422480351e29be9cb5ec.jpg

Mathematics

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