Prove that the lim as x approaches infinity of x^n/n^k=+infinity if x>1
Lets assume that you mean x and not k as the other poster said...then you want to show that
Consider that
and
So now consdier that
Therefore L'hopital's may be applied...but we see that this also gives infinity over infinity...this continues until the x+1th derivative where we see that
Which clearly equals infinity.