# Thread: Representation of Functions by Power Series

1. ## Representation of Functions by Power Series

I don't understand how my calc book worked this out to convert to the a/(1-r) form:

$\displaystyle \frac {1}{2x-5} = \frac{-1}{11-2(x+3)}$

2. Originally Posted by saiyanmx89
I don't understand how my calc book worked this out to convert to the a/(1-r) form:

$\displaystyle \frac {1}{2x-5} = \frac{-1}{11-2(x+3)}$
this is a weird form to bring it to, i guess this was a follow up question?

anyway: $\displaystyle \frac 1{2x - 5} = \frac {-1}{5 - 2x} = \frac {-1}{11 - 6 - 2x} = \frac {-1}{11 - 2(x + 3)}$