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