Step 1:

\

The series is \"\".

\

Rewrite the series in summation notation, as \"\" term of the series is \"\".

\

\"\"

\

The above series is a p-series.

\

 

\

p-series test: The p-series \"\" is convergent, if \"\" and divergent if \"\".

\

Here \"\".

\

Thus, the series is \"\" is convergent.

\

Solution:

\

The series \"\"is convergent.

\