oo ___ \ ` \ n n / n*2 *x /__, n = 1
Sum((n*2^n)*x^n, (n, 1, oo))
/ 2*x | ---------- for 2*|x| < 1 | 2 | (1 - 2*x) | | oo < ___ | \ ` | \ n n | / n*2 *x otherwise | /__, |n = 1 \
Piecewise((2*x/(1 - 2*x)^2, 2*|x| < 1), (Sum(n*2^n*x^n, (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