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,
.
.