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- Feb 14, 2012

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I am completely clueless about how to tackle the problem below, given I noticed $y$ increases as $x$ increases, so there is no maximum point over the entire domain for that function, that is for $x \ge 0$, isn't that so?

For what value of $x$ is the expression in $y=\dfrac{19^x+66^x}{x!}$ the greatest?

Can someone please help shed some light on this problem? Thanks in advance.