From example 7: The power series of .
Find .
Substitute in
.
.
With alternating series, to get accuracy to five decimal places, find which term absolute value is .
Then find the partial sum upto before that sum.
\Construct a table for different values of .
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
observe the table:
\.
So find .
.
Therefore, .
.