The series is .

Tabulate the sequence of terms and partial terms.

	\ \

Observe the table is decreasing and tends to zero.

Graph:

Observe the graph:

The blue dots are partial sums of the series.

Sum of the series correct to four decimal places is .

By the Alternating Series estimation theorem:

Here  (i)  , and (ii) , then .

Find the sum correct to four decimal places.

Thus, .

Fromthe table .

Calculate the sum upto six partial terms.

\

\

\

.

.