Math Tutoring Nyc - Other Classified Ads in Boston

L?Hospital?s Rule is a useful way to evaluate tricky limits. It is most often used for limits of indeterminate form. The rule is as follows: If $f(x)$ and $g(x)$ are differentiable on some interval around the number $a$ (or if $a=?$, $f(x)$ and $g(x)$ are differentiable for all $x>?$ for some $?$), and ${limlimits_{x to a} g(x)} ? 0$, then $$limlimits_{x to a} frac{f(x)}{g(x)} = limlimits_{x to a} frac{f'(x)}{g'(x)}$$ We can take the derivatives of the numerator and the denominator and then take the limit and it will be the same as the limit of the original ratio.