Find the interval of absolute convergence and then.
Expand,
. (*)
Okay, now we notice a very important thing.
First we know that,
Then, take derivative,
.
Substitute that into (*),
find the sum of the given series:
heres the equation: http://img19.imageshack.us/img19/559/untitledyc9.jpg
I was told it could be done by first finding a and b using that 2n +1 = a(n+1) + b
and given as a hint that E(n + 1)x^n is the derivateive of a known power series already.
please help me with this.
thankyou.