Question

(1^-4+2^-4+3^-4+4^-4+...)/(1^-4+3^-4+5^-4+7^-4+...)=

Answer 1

(1^-4 + 2^-4 + 3^-4 + 4^-4 + ...)/(1^-4 + 3^-4 + 5^-4 + 7^-4 + ...) 
pecah jd dua bagian
(1^-4 + 2^-4 + 3^-4 + 4^-4 + ...) = a
(1^-4 + 3^-4 + 5^-4 + 7^-4 + ...) = b

uraikan membentuk deret geo tak hingga:
a/b = 1 + (a/b)(1/16)
1 = (a/b) - (1/16)(a/b)
1 = (15/16)(a/b)
(a/b) = 1 x 16/15 = 16/15