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I understand that you have to change the function to either infinity/infinity or zero/zero but that's about it. Also, I don't understand how to see if a function is inf/inf or 0/0.
if you have such cases, then all you have to do is find the limit of top and bottom till such cases disappear, so after that you can compute the limit, that's all ^_^
I though I had to find the derivative of the function.
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If the function is 0/0 or inf/inf, take the derivative of the numerator and denominator until the function is no longer of the form 0/0 or inf/inf. Example (sin x)/x as x approaches zero gives 0/0. Therefore take the derivative of the numerator and denominator. I get cos x/1. Since the fraction is no longer of the form 0/0, you can not use L'Hopital's rule again. Plugging in 0 for x gives cos 0/1=1. I hope this is the answer you were looking for.
not the derivative of the function , but the derivative of each part alone :)