Lim x -> 0: Solve f(x) = (-1+e^x) / x

[DemoniWaari]

Hey there, I was trying to check my calculations of one laplace tranformation and I needed to know a limit: f(x) = (-1+e^x) / x as x -> 0. And I can't seem to find the answer for this even though I try and try. So little help?

Oh I was just thinking that can you use taylor's series for this? Wolfram found some interesting series at x = 0 and I was thinking that it might give me the answer too, though I can't solve it either so help with that is greatly appreciated...

 

[micromass]

Try l'hospital's rule.

Or expand $e^x$ into its Taylor series.

 

[DemoniWaari]

Oh man of course l'hospital's rule! Thanks for refreshing my memory!