Hi, can anyone explain how

lim x->0 (x+( (e^(2x)) - (e^(3x)) / 3x+( e^(2x) )- (e^(5x)))

Can be 5/21?

When I try using L'Hopital I get -4/-18.

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- November 28th 2012, 12:00 AMErkaintermediate limit - L'Hopital's rule?
Hi, can anyone explain how

lim x->0 (x+( (e^(2x)) - (e^(3x)) / 3x+( e^(2x) )- (e^(5x)))

Can be 5/21?

When I try using L'Hopital I get -4/-18. - November 28th 2012, 12:22 AMMarkFLRe: intermediate limit - L'Hopital's rule?
I assume you mean:

We see we have the indeterminate form 0/0, so application of L'Hôpital's rule gives:

We still have the indeterminate form 0/0, so application of L'Hôpital's rule again gives:

- November 28th 2012, 12:33 AMErkaRe: intermediate limit - L'Hopital's rule?
Thanks a lot!

- November 28th 2012, 12:37 AMMarkFLRe: intermediate limit - L'Hopital's rule?
Glad to help and welcome to the forums! :D