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Mathematics 21 Online
OpenStudy (anonymous):

Need some help with l'hopitals rule

OpenStudy (anonymous):

Oh god I love L'hopital's rule.

OpenStudy (anonymous):

Let's be best friends.

OpenStudy (anonymous):

\[\frac{ lnx }{x }\]

OpenStudy (anonymous):

x->0+

OpenStudy (bahrom7893):

I love it more than he does

OpenStudy (anonymous):

lol

OpenStudy (bahrom7893):

infinity!

OpenStudy (anonymous):

such a pain

OpenStudy (bahrom7893):

is the answer

OpenStudy (anonymous):

-inf

OpenStudy (bahrom7893):

wait does ln function approach 0 from the negative side?

OpenStudy (anonymous):

this is my problem though,

OpenStudy (anonymous):

0+

OpenStudy (bahrom7893):

1/x/1 = 1/x, x_>0+, should be +infinity

OpenStudy (bahrom7893):

let's see what smooth has to say

OpenStudy (anonymous):

Okay, so first you have to show that the limit is of indeterminate form. Is it something like \(\Large \frac{0}{0}, \frac{\infty}{\infty}, \frac{-\infty}{-\infty}\) If it is, then you can use L'hopitals.

OpenStudy (bahrom7893):

or 0^0, or 1^infinity, etc

OpenStudy (bahrom7893):

i think there are 7 indeterminate forms

OpenStudy (anonymous):

this is -inf/0

OpenStudy (anonymous):

so i cant use lopitals?

OpenStudy (anonymous):

Right. No l'hopital's in this case. Try rewriting as \(ln(x)*x^{-1}\) and then use product rule.

OpenStudy (bahrom7893):

someone should put me back into calc 1

OpenStudy (anonymous):

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