The Common Maclaurin Series Worksheet with Answer Key

What's on the worksheet

1. Find the exact sum of each series by matching it with a series in the table.
   \displaystyle\sum_{n=1}^{\infty} \dfrac{2^n}{n!}\displaystyle\sum_{n=0}^{\infty} \dfrac{(-1)^n}{(2n)!}\displaystyle\sum_{n=1}^{\infty} \dfrac{1}{n\,2^n}\displaystyle\sum_{n=0}^{\infty} \dfrac{(-1)^n}{2n+1}\displaystyle\sum_{n=1}^{\infty} \dfrac{(-1)^{n+1}\,2^n}{n}
2. Let $f
3. Let $f
4. Let $f
5. For each function, build the Maclaurin series from the table.
6. Decide whether each function has a Maclaurin series.