\"\"

\

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, \"\".

\

\"\"

\

\"\".