Name : Yannick Gigandet
How can I solve these two limits :
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[a^{1/n} 1] as [a^{1/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
Cheers
