- #1
verd
- 146
- 0
Hi,
I'm having a bit of difficulty with the following two problems:
The first asks to find the sum of the following series:
[tex]\sum\limits_{n = 1}^\infty {\frac{2}{n^2+4n+3}} [/tex]
I easily understand geometric series and how to find sums with those, but this seems a bit complicated. Factoring and pulling the 2 out doesn't seem to really help any. ...Any suggestions?
And this question:
Find a power series representation for the following:
[tex]g(x)=\arctan{\frac{x}{2}}[/tex]
I understand the simple 1/4+x^2 kind of stuff, but this I don't even know how to begin.
Any suggestions??
Thanks!
I'm having a bit of difficulty with the following two problems:
The first asks to find the sum of the following series:
[tex]\sum\limits_{n = 1}^\infty {\frac{2}{n^2+4n+3}} [/tex]
I easily understand geometric series and how to find sums with those, but this seems a bit complicated. Factoring and pulling the 2 out doesn't seem to really help any. ...Any suggestions?
And this question:
Find a power series representation for the following:
[tex]g(x)=\arctan{\frac{x}{2}}[/tex]
I understand the simple 1/4+x^2 kind of stuff, but this I don't even know how to begin.
Any suggestions??
Thanks!