Question

How many terms of
\[
\sum_{n=0}^{\infty }\, \frac{(-1)^n}{10^nn!}
\]
must be added so that the error is smaller than 0.000005?

Answer 1

\[
\sum_{n=0}^{\infty }\, \frac{(-1)^n}{10^nn!}
\]