oo ____ \ ` \ 2*n - 1 \ (x + 5) ) -------------- / n / 4 *(2*n - 1) /___, n = 1
Sum((x + 5)^(2*n - 1)/((4^n*(2*n - 1))), (n, 1, oo))
/ / __________\ | | / 2 | | 2 |\/ (5 + x) | |(5 + x) *atanh|-------------| | \ 2 / |----------------------------- for And(x > -7, x < -3) | __________ | / 2 | 2*\/ (5 + x) < | oo | ____ | \ ` | \ -n 2*n | \ 4 *(5 + x) | / -------------- otherwise | / -1 + 2*n | /___, \ n = 1 ------------------------------------------------------- 5 + x
Piecewise(((5 + x)^2*atanh(sqrt((5 + x)^2)/2)/(2*sqrt((5 + x)^2)), (x > -7)∧(x < -3)), (Sum(4^(-n)*(5 + x)^(2*n)/(-1 + 2*n), (n, 1, oo)), True))/(5 + x)
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