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### L'Hôpital's Rule

Posted: May 14th, 2012, 11:23 pm
If the limit of the function gives us 0/0 or ∞/∞, L'Hôpital's Rule says we can take the derivative of the numerator and the derivative of the denominator and see if we get a determinate expression.

If we get

we can do this:

Other types of indeterminate forms:

-more to come

### Re: L'Hôpital's Rule

Posted: January 8th, 2013, 2:48 pm
Indeterminate Products (0 · ∞)

$\lim_{x\rightarrow 0^+}x^2\ln x$ = 0 · ∞

Convert to quotient

$\lim_{x\rightarrow 0^+}\frac{\ln x}{\frac{1}{x^2}}$ = $\frac{\infty}{\infty}}$

Then follow L'Hôpital's Rule (like in the first post)