problem was to prove that ∑(n=0 to n=∞) t^2n ∫(-1 to 1)P^2(n)(x)dx=∫(-1 to 1) (dx ÷(1-2xt+t²)) = (1÷t)(log(1+t) ÷log(1-t))
upto this i followed but after that last step the book which i am refering gives answer =2÷(2n+1)
can u just help me how to come to that answer.. plz give me steps to follow..
The first thing is that has to formatted in a way that can be read. Do you know how to use latex?
First of all what is P^2(n)(x)? The Legendre polynomials? Did I interpret your problem correctly in my latex?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.