\ \

From example 7: \ \

The power series representation of . \ \

Find upto five decimals. \ \

Substitute . \ \

\ \

.

Construct a table foer different  values of .

\ \

Observe the table: \ \

.

To obtain accuracy upto  decimal places, find which term absolute value is .

Then find the patial sum up to before that term. \ \

Here .

Therefore, find the partial sum upto . \ \

.

.

\ \

. \ \