oo ____ \ ` \ n \ sin (x) / ------- / n + 1 /___, n = 1
Sum(sin(x)^n/(n + 1), (n, 1, oo))
// 2 2*log(1 - sin(x))\ ||- ------ - -----------------|*sin(x) || sin(x) 2 | |\ sin (x) / |------------------------------------- for And(|sin(x)| <= 1, sin(x) != 1) | 2 | | oo < ____ | \ ` | \ n | \ sin (x) | / ------- otherwise | / 1 + n | /___, | n = 1 \
Piecewise(((-2/sin(x) - 2*log(1 - sin(x))/sin(x)^2)*sin(x)/2, (Ne(sin(x), 1))∧(Abs(sin(x)) <= 1)), (Sum(sin(x)^n/(1 + 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