A) 0
B) 1
C) Does not exist
D) None of these
Correct Answer: D
Solution :
\[\underset{x\to 0}{\mathop{\text{lim}}}\,\frac{{{e}^{1/x}}}{{{e}^{\left( \frac{1}{x}+1 \right)}}}=\underset{x\to 0}{\mathop{\text{lim}}}\,\frac{{{e}^{1/x}}}{{{e}^{\frac{1}{x}}}.e}\]\[=\underset{x\to 0}{\mathop{\text{lim}}}\,\frac{1}{e}={{e}^{-1}}\].You need to login to perform this action.
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