Question

sum of the series 2^(1/n)

Answer 1

To infinity?

Answer 2

\[\sum_{1}^{\infty} \sqrt[n]{2}\]

Answer 3

Well, does this sum even exist? Remember, for a series
\[\large \sum_{n=1}^{\infty}a_n\]to be convergent, it is necessary for the underlying sequence to converge to zero...
\[\huge \lim_{n \rightarrow \infty}a_n=0\]