oo ____ \ ` \ n n \ 5 *x ) ----- / 2 n / n *3 /___, n = 1
Sum((5^n*x^n)/((n^2*3^n)), (n, 1, oo))
/ / 5*x\ 5*|x| |polylog|2, ---| for ----- <= 1 | \ 3 / 3 | | oo |____ |\ ` < \ -n n n | \ 3 *5 *x | ) --------- otherwise | / 2 | / n |/___, |n = 1 \
Piecewise((polylog(2, 5*x/3), 5*|x|/3 <= 1), (Sum(3^(-n)*5^n*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