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Let $a_n=\large\frac{10^n}{n !}$ for $n=1,2,3.......$ Then the greatest value of $n$ for which $a_n$ is the greatest is :

\[\begin {array} {1 1} (1)\;11 & \quad (2)\;20 \\ (3)\;10 & \quad (4)\;8 \end {array}\]

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(3) 10
answered Nov 7, 2013 by pady_1

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