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L'Hopital's Rule ... I don't speak French, but my calc teacher in high school told me it is pronounced "low-pee-tahl" ... L'Hopital's Rule states that:

if lim f(x)=0 and lim g(x)=0 x→c x→c then limf(x)= limf'(x)x→c g(x) x→c g'(x)

For example, consider

limxx→c x^{2}+2x

This gives 0 / 0, which is indeterminate, and meets the requirements of L'Hopital's Rule. So we take the derivate of the top and bottom -- *separately*, not the derivative of the quotient. Then we find the limit of that.

limxx→c x = lim^{2}+2x2x+2x→c 1 = 2

Of course, that's a fairly boring case. We could have figured that out just by doing the division before we calculated the limit.

So let's try a more interesting problem, like

limsin xx→c x = limcos xx→c 1 = 1

For a more thorough discussion, see

© 2008 by Jay Johansen

**AChornbeenue** Aug 14, 2017

Others is capable of a bigger harder erection but cannot maintain it during sexual intercourse. He is content, as well as the the complete opposite of what we think senior years has in store for us.

**RLTjiEZgXH** Mar 25, 2018

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**RLTjiEZgXH** Mar 25, 2018

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**RLTjiEZgXH** Mar 25, 2018

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**RLTjiEZgXH** Mar 25, 2018

**RLTjiEZgXH** Mar 25, 2018

**RLTjiEZgXH** Mar 25, 2018