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Question

For the function f(x)=(x+1)1/x to be continuous at x=0, f(0) must be defined as:

A
f(0)=0
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B
f(0)=e
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C
f(0)=1e
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D
f(0)=1
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Solution

The correct option is B f(0)=e
Given, f(x)=(x+1)1x
limx0f(x)=f(0)=limx0(1+x)1/x=e

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