How to calculate the limit of $(n+1)^{\frac{1}{n}}$ as $n\to\infty$?
I know how to prove that $n^{\frac{1}{n}}\to 1$ and $n^{\frac{1}{n}}<(n+1)^{\frac{1}{n}}$. What is the other inequality that might solve the problem?
How to calculate the limit of $(n+1)^{\frac{1}{n}}$ as $n\to\infty$?
I know how to prove that $n^{\frac{1}{n}}\to 1$ and $n^{\frac{1}{n}}<(n+1)^{\frac{1}{n}}$. What is the other inequality that might solve the problem?