I'm really bad at this stuff and I can't figure it out.

Find a power series representation for the function and determine the radius of convergence.

1. f(z) = ln (7-z)

2. f(x) = x^3 / (5-x)^2

3. f(z) = arctan(z/11)

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- Apr 18th 2008, 11:52 AMthegame189Finding Power Series and Evaluating as a Power Series
I'm really bad at this stuff and I can't figure it out.

Find a power series representation for the function and determine the radius of convergence.

1. f(z) = ln (7-z)

2. f(x) = x^3 / (5-x)^2

3. f(z) = arctan(z/11) - Apr 18th 2008, 01:33 PMflyingsquirrel
Hello

1. then, if you find it useful, you can substitute and finally give the power series representation. (I guess you know the power series representation of ? If you don't, it comes from )

2. aknowledged that

3. 4. If you know the power series representation of , you only have to do a substitution. Otherwise, - Apr 18th 2008, 03:19 PMthegame189
2. I don't see what you did to get x^3/

**25**.

3. Can somebody walk me through the arctan(z/11) problem? I know the power series of arctan(x) but I don't know what to do. I'm completely lost. This is like a foreign language to me honestly. - Apr 18th 2008, 07:07 PMMathstud28
- Apr 18th 2008, 07:11 PMMathstud28
- Apr 18th 2008, 07:16 PMMathstud28
- Apr 18th 2008, 07:18 PMthegame189
Edit: That's what I got as my answer but the computer isn't taking it. I'll have to show my professor the work. Our homework is online and you only get 4 chances and it won't take my answer.

2nd Edit: How do I find the radius of convergence? - Apr 18th 2008, 07:18 PMMathstud28
- Apr 18th 2008, 07:20 PMMathstud28
- Apr 18th 2008, 07:30 PMMathstud28
- Apr 18th 2008, 11:35 PMflyingsquirrel