1.

\[\underset{x\to 0}{\mathop{\lim }}\,{{\left\{ \frac{1+\operatorname{tanx}}{1+\sin x} \right\}}^{\cos ecx}}\] is equal to

A. \[\frac{1}{e}\]
B. 1
C. \[e\]
D. \[{{e}^{2}}\]
Answer» C. \[e\]


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