- #1
aruwin
- 208
- 0
Hello.
I need explanation on why the answer for this problem is $R=\infty$.
Here's the question and the solution.
Expand the function into maclaurin series and find the radius of convergence.
$zsin(z^2)$
Solution:
$$zsin(z^2)=z\sum_{n=0}^{\infty}(-1)^n\frac{z^{2(2n+1)}}{(2n+1)!}$$
Divide both sides by z,
$$sin(z^2)=\sum_{n=0}^{\infty}(-1)^n\frac{z^{2(2n+1)}}{(2n+1)!}$$
So here's the calculation but I don't know how to get the radius of convergence. Answer is $\infty$.
I need explanation on why the answer for this problem is $R=\infty$.
Here's the question and the solution.
Expand the function into maclaurin series and find the radius of convergence.
$zsin(z^2)$
Solution:
$$zsin(z^2)=z\sum_{n=0}^{\infty}(-1)^n\frac{z^{2(2n+1)}}{(2n+1)!}$$
Divide both sides by z,
$$sin(z^2)=\sum_{n=0}^{\infty}(-1)^n\frac{z^{2(2n+1)}}{(2n+1)!}$$
So here's the calculation but I don't know how to get the radius of convergence. Answer is $\infty$.