How do I find the limit as #x# approaches infinity of #x^7/(7x)#?
We start by plugging in
That is not able to be evaluated. In this situation, we can use L'Hôpital's Rule. The key here is to use the rule only when the limit is not able to be determined.
Taking the derivative of the top and bottom where
Since this is able to be evaluated, we have our limit as