\[\underset{x\to 0}{\mathop{\lim }}\,{{\left( \frac{1+\tan x}{1+\sin x} \right)}^{\text{cosec }x}}\]is equal to [Kerala (Engg.) 2005]

\[\underset{x\to 0}{\mathop{\lim }}\,{{\left( \frac{1+\tan x}{1+\sin x

1.	\[\underset{x\to 0}{\mathop{\lim }}\,{{\left( \frac{1+\tan x}{1+\sin x} \right)}^{\text{cosec }x}}\]is equal to [Kerala (Engg.) 2005]
A.	\[e\]
B.	\[\frac{1}{e}\]
C.	1
D.	None of these
Answer» D. None of these

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\[\underset{x\to 0}{\mathop{\lim }}\,{{\left( \frac{1+\tan x}{1+\sin x} \right)}^{\text{cosec }x}}\]is equal to [Kerala (Engg.) 2005]

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