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

1.	\[\underset{x\to 0+}{\mathop{\lim }}\,\frac{x{{e}^{1/x}}}{1+{{e}^{1/x}}}=\]
A.	0
B.	1
C.	\[\infty \]
D.	None of these
Answer» B. 1

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

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