Home > PC3 > Chapter 13 > Lesson 13.2.1 > Problem13-64

13-64.

Use a calculator to evaluate each of the following sums. Recall that $5!$, for example, means $5 · 4 · 3 · 2 · 1$.

1. $\displaystyle\sum _ { k = 0 } ^ { 4 } \frac { 1 } { k ! }$

$=\frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}$

1. $\displaystyle\sum _ { k = 0 } ^ { 10 } \frac { 1 } { k ! }$

1. What is the value of $\lim \limits _ { n \rightarrow \infty } \displaystyle \sum _ { k = 0 } ^ { n } \frac { 1 } { k ! }$?