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Question

The value of the limit limxe log x 1xe is

A
e
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B
1e
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C
1e
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D
e
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Solution

The correct option is B 1e
limxe log x 1xeLet xe = h. Now, x=e+h if xe then h0Therefore,limh0 log (e+h) log ee+he=limh0 log (1+he)h=limh0 log (1+he)ehe=1e (limx0 log (1+x)x=1]

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