In order to find in :

By partial fractions i got

inside we have 2 geometric series

the series for is

and for we have

so the coeficients of are times

but the unswer is times

i did something wrong?

Printable View

- Apr 28th 2011, 09:46 AMhurzhelp in taylor series
In order to find in :

By partial fractions i got

inside we have 2 geometric series

the series for is

and for we have

so the coeficients of are times

but the unswer is times

i did something wrong? - Apr 29th 2011, 12:07 AMOpalg
You did not necessarily do anything wrong. Notice that , as you can check by multiplying out the fractions.

Incidentally, the coefficients in that power series are the Fibonacci numbers. - Apr 29th 2011, 01:41 AMFernandoRevilla
- Apr 29th 2011, 06:29 PMTheCoffeeMachine