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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
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OpenStudy (anonymous):
lol
OpenStudy (bahrom7893):
infinity!
OpenStudy (anonymous):
such a pain
OpenStudy (bahrom7893):
is the answer
OpenStudy (anonymous):
-inf
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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
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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?
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OpenStudy (anonymous):
Right. No l'hopital's in this case.
Try rewriting as \(ln(x)*x^{-1}\)
and then use product rule.