# Question #17b04

Oct 27, 2015

The power series requires us to find ${f}^{\left(n\right)} \left(c\right)$.

#### Explanation:

For this function ${f}^{\left(n\right)} \left(0\right)$ is not defined.

Note
$f ' \left(x\right) = \frac{1}{x}$

$f ' ' \left(x\right) = - \frac{1}{x} ^ 2$

$f ' ' ' \left(x\right) = \frac{2}{x} ^ 3$

${f}^{\left(4\right)} \left(x\right) = - \frac{6}{x} ^ 4$

And so on.