A) \[f(0)=0\]
B) \[f(0)=e\]
C) \[f(0)=1/e\]
D) \[f(0)=1\]
Correct Answer: B
Solution :
\[\underset{x\to 0}{\mathop{\lim }}\,\,f(x)=f(0)=\underset{x\to 0}{\mathop{\lim }}\,\,\,{{(1+x)}^{1/x}}=e.\]
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