1. ## Taylor Series

The following exercises involve our generating a new Taylor series through a change of varables in the geometric series Eq. (5.2-8) or some other familar expansion. Here a is any constant. Explain how the following is derived:

, |z|<1

2. Originally Posted by lacy1104
The following exercises involve our generating a new Taylor series through a change of varables in the geometric series Eq. (5.2-8) or some other familar expansion. Here a is any constant. Explain how the following is derived:

, |z|<1
Well you have the geometric series:

$1+x+x^2+x^3+.. = \frac{1}{1-x}, \ \ \ |x|<1$

so you now change the variable twice, first put $u=-x$, then put $z^2=u$.

RonL