Mathematics
OpenStudy (anonymous):

What is the error in $\lim_{x \rightarrow 2}{e^{3x^2-12x+12}}/x^4-16$ = 0? They use L'Hopital's rule.

OpenStudy (sid1729):

I replied to another thread on this: the numerator does not tend to 0 or +/- infinity as x -> 2, so L'Hopital's rule cannot be applied here.