\[\underset{x\to 0}{\mathop{\lim }}\,\,\frac{{{(1+x)}^{1/x}}-e}{x}\] equals [UPSEAT 2001]

\[\underset{x\to 0}{\mathop{\lim }}\,\,\frac{{{(1+x)}^{1/x}}-e}{x}\] e

1.	\[\underset{x\to 0}{\mathop{\lim }}\,\,\frac{{{(1+x)}^{1/x}}-e}{x}\] equals [UPSEAT 2001]
A.	\[\pi /2\]
B.	0
C.	\[2/e\]
D.	?\[e/2\]
Answer» E.

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\[\underset{x\to 0}{\mathop{\lim }}\,\,\frac{{{(1+x)}^{1/x}}-e}{x}\] equals [UPSEAT 2001]

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