Representation of Functions by Power Series

**saiyanmx89** · April 11th 2009, 12:40 PM

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

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

**Jhevon** · April 11th 2009, 01:20 PM

Originally Posted by saiyanmx89

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

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

this is a weird form to bring it to, i guess this was a follow up question?

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

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