Limit of $n^{1/2}(n^{1/n}-1)=0$, as $n$ approaches infinity.
I need a strict math proof that this sequence converges to zero, but without using L'Hôpital's rule, because I am not allowed to use it yet. Thanks in advance.
Limit of $n^{1/2}(n^{1/n}-1)=0$, as $n$ approaches infinity.
I need a strict math proof that this sequence converges to zero, but without using L'Hôpital's rule, because I am not allowed to use it yet. Thanks in advance.