Maximum value of \[{{\left( \frac{1}{x} \right)}^{x}}\] is [DCE 1999; Karnataka CET 1999; UPSEAT 2003]

\[{{\left( \frac{1}{e} \right)}^{e}}\]

Maximum value of \[{{\left( \frac{1}{x} \right)}^{x}}\] is [DCE 1999

1.	Maximum value of \[{{\left( \frac{1}{x} \right)}^{x}}\] is [DCE 1999; Karnataka CET 1999; UPSEAT 2003]
A.	\[{{(e)}^{e}}\]
B.	\[{{(e)}^{e}}\]
C.	\[{{(e)}^{-e}}\]
D.	\[{{\left( \frac{1}{e} \right)}^{e}}\]
Answer» C. \[{{(e)}^{-e}}\]

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Maximum value of \[{{\left( \frac{1}{x} \right)}^{x}}\] is [DCE 1999; Karnataka CET 1999; UPSEAT 2003]

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