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The interval of x in which exlnx>lnx/e^x

The interval of x in which exlnx>lnx/e^x

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
e^{x}lnx> \frac{lnx}{e^{x}}
x > 0…................(1)
(e^{x}-\frac{1}{e^{x}})lnx> 0
\Rightarrow x>1, x<0.....................(2)
So the intersection of (1) & (2) is:
x>1
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

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