20 ____ \ ` \ 2*n \ x / -------- / cos(n*x) /___, n = 0
Sum(x^(2*n)/cos(n*x), (n, 0, 20))
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 x x x x x x x x x x x x x x x x x x x x 1 + ------ + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- cos(x) cos(2*x) cos(3*x) cos(4*x) cos(5*x) cos(6*x) cos(7*x) cos(8*x) cos(9*x) cos(10*x) cos(11*x) cos(12*x) cos(13*x) cos(14*x) cos(15*x) cos(16*x) cos(17*x) cos(18*x) cos(19*x) cos(20*x)
1 + x^2/cos(x) + x^4/cos(2*x) + x^6/cos(3*x) + x^8/cos(4*x) + x^10/cos(5*x) + x^12/cos(6*x) + x^14/cos(7*x) + x^16/cos(8*x) + x^18/cos(9*x) + x^20/cos(10*x) + x^22/cos(11*x) + x^24/cos(12*x) + x^26/cos(13*x) + x^28/cos(14*x) + x^30/cos(15*x) + x^32/cos(16*x) + x^34/cos(17*x) + x^36/cos(18*x) + x^38/cos(19*x) + x^40/cos(20*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