oo ____ \ ` \ n + 1 2*n - 1 \ (-1) *x / ------------------ / 2*n - 1 /___, n = 1
Sum(((-1)^(n + 1)*x^(2*n - 1))/(2*n - 1), (n, 1, oo))
// -atan(x) for And(x >= -1, x <= 1)\ || | || oo | ||____ | ||\ ` | -|< \ n 2*n | || \ (-1) *x | || / ---------- otherwise | || / -x + 2*n*x | ||/___, | \\n = 1 /
-Piecewise((-atan(x), (x >= -1)∧(x <= 1)), (Sum((-1)^n*x^(2*n)/(-x + 2*n*x), (n, 1, oo)), True))
x^n/n
(x-1)^n
1/2^(n!)
n^2/n!
x^n/n!
k!/(n!*(n+k)!)
csc(n)^2/n^3
1/n^2
1/n^4
1/n^6
1/n
(-1)^n
(-1)^(n + 1)/n
(n + 2)*(-1)^(n - 1)
(3*n - 1)/(-5)^n
(-1)^(n - 1)*n/(6*n - 5)
(-1)^(n + 1)/n*x^n
(3*n - 1)/(-5)^n