1
$\begingroup$

I have a problem with representing functions as power series: question http://puu.sh/hvUGb/b48c3a9217.png

I was trying to find $c_0$, $c_1$, $c_2$, ... and the Radius of Convergence but I'm not sure how to do this, I'm a bit lost here could someone give me some advice or help on this?

$\endgroup$
1
  • 1
    $\begingroup$ Do you know the power series expansion of $1/(1-y)$? Can you modify this somehow to cover the function you're given? $\endgroup$
    – Gyu Eun Lee
    Apr 30, 2015 at 4:11

1 Answer 1

Reset to default
2
$\begingroup$

Hint. One may recall that $$\frac{1}{1-q}=\sum_{n=0}^{+\infty} q^n,\quad |q|<1.$$ Here you may put $q=8x$ and the radius of convergence is obtained from $x$ such that $|8x|<1$.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.