- #1
Mathman23
- 254
- 0
Hi
I have the following problem:
show that
1/(1+x^2)) = 1-x^2 + x^4 + (-1)^n*(x^2n-2) + (-1)^n * (x^2n)/(1+x^2)
I that know this arctan function can be expanded as a geometric series by using:
1 + q + q^2 + q^3 + ... + = 1/(1-q)
Then by putting q = -x^2. I get:
1/(1-(-x^2) = 1 - x^2 - (-x^2) - (-x^2)^3 + ... +
My question is how do I proceed from this to get the desired result?
Sincerley and Best Regards
Fred
I have the following problem:
show that
1/(1+x^2)) = 1-x^2 + x^4 + (-1)^n*(x^2n-2) + (-1)^n * (x^2n)/(1+x^2)
I that know this arctan function can be expanded as a geometric series by using:
1 + q + q^2 + q^3 + ... + = 1/(1-q)
Then by putting q = -x^2. I get:
1/(1-(-x^2) = 1 - x^2 - (-x^2) - (-x^2)^3 + ... +
My question is how do I proceed from this to get the desired result?
Sincerley and Best Regards
Fred