10 ____ \ ` \ 2*n \ n x / (-1) *------ / (2*n)! /___, n = 0
Sum((-1)^n*(x^(2*n)/factorial(2*n)), (n, 0, 10))
2 6 10 14 18 4 8 12 16 20 x x x x x x x x x x 1 - -- - --- - ------- - ----------- - ---------------- + -- + ----- + --------- + -------------- + ------------------- 2 720 3628800 87178291200 6402373705728000 24 40320 479001600 20922789888000 2432902008176640000
1 - x^2/2 - x^6/720 - x^10/3628800 - x^14/87178291200 - x^18/6402373705728000 + x^4/24 + x^8/40320 + x^12/479001600 + x^16/20922789888000 + x^20/2432902008176640000
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