Name : Yannick Gigandet

How can I solve these two limits :

  1. lim when n approches 1 of n[a1/n -1]

  2. lim when x approches 0 of (eax - ebx) / x
Thanks for the answer!

Hi Yannick,

I think in the first problem you want the limit as n approaches infinity. In both cases the way to find these limits is to use l'Hospital's Rule. For the first example write n[a1/n -1] as [a1/n -1]/[1/n]. I wouls then make the change of variables, x = 1/n to get

Now apply l'Hospital's Rule by differentiating both the numerator and denominator to get


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