oo ____ \ ` \ n \ f*x / --------- / 3*(n + 4) /___, n = 1
Sum((f*x^n)/((3*(n + 4))), (n, 1, oo))
// / 2 3 \ \ || | 5*x 5*x 5*x | | || |-5 - --- - ---- - ---- | | || | 2 3 4 5*log(1 - x)| | ||x*|---------------------- - ------------| | || | 4 5 | | || \ x x / | ||----------------------------------------- for And(x >= -1, x < 1)| || 15 | f*|< | || oo | || ____ | || \ ` | || \ n | || \ x | || / -------- otherwise | || / 12 + 3*n | || /___, | \\ n = 1 /
f*Piecewise((x*((-5 - 5*x/2 - 5*x^2/3 - 5*x^3/4)/x^4 - 5*log(1 - x)/x^5)/15, (x >= -1)∧(x < 1)), (Sum(x^n/(12 + 3*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