The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{(1+x)}^{1/x}}-e+\frac{1}{2}ex}{{{x}^{2}}}\]is [DCE 2001]

The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{(1+x)}^{1/x}

1.	The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{(1+x)}^{1/x}}-e+\frac{1}{2}ex}{{{x}^{2}}}\]is [DCE 2001]
A.	\[\frac{11e}{24}\]
B.	\[\frac{-11e}{24}\]
C.	\[\frac{e}{24}\]
D.	None of these
Answer» B. \[\frac{-11e}{24}\]

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The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{(1+x)}^{1/x}}-e+\frac{1}{2}ex}{{{x}^{2}}}\]is [DCE 2001]

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