oo ____ \ ` \ / n + 1 \ \ | 2*(-1) | ) |1 + -----------*cos(k*x)| / | 2 | / \ k - 1 / /___, n = 1
Sum(1 + ((2*(-1)^(n + 1))/(k^2 - 1))*cos(k*x), (n, 1, oo))
oo ____ \ ` \ / 1 + n \ \ | 2*(-1) *cos(k*x)| ) |1 + --------------------| / | 2 | / \ -1 + k / /___, n = 1
Sum(1 + 2*(-1)^(1 + n)*cos(k*x)/(-1 + k^2), (n, 1, oo))
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