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