I have a Calculus Assignment on Power Series and I am very lost and confused. One of my questions looks like this:

f(x) = 7xln(6+x)

f(x)=

Find:

C1=

C2=

C3=

C4=

and R(radius of convergence)=

If anyone can help me out that would be great!

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- March 9th 2008, 05:57 PMBKennedyPower Series *edited*
I have a Calculus Assignment on Power Series and I am very lost and confused. One of my questions looks like this:

f(x) = 7xln(6+x)

f(x)=

Find:

C1=

C2=

C3=

C4=

and R(radius of convergence)=

If anyone can help me out that would be great! - March 9th 2008, 07:49 PMTheEmptySet
Remember that the geometric series is for

We need to fix up what we have so here we go...

let so then

then

Now integrating both sides we can get g(x)

So