$\"\"$

The series $\"\"$ .

Consider $\"\"$ and $\"\"$ .

The partial sum of the sequence for n terms is $\"\"$ .

Now tabulate the partial sum for different values of n.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$

Graph:

Plot the points of sequnce of terms corresponds to value $\"image\"$ with the blue dots.

Plot the points of partial sums corresponds to the $\"image\"$ with pink dots.

$\"\"$

Divergence test:For the series $\"\"$ , If $\"\"$ , then the series $\"\"$ is divergent.

Find $\"\"$

$\"\"$

If $\"\"$

$\"\"$ $\"\"$

Since $\"\"$ , then the series $\"\"$ is divergent.

$\"\"$

The series is divergent.