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Find the period of the function f(x) = sin(x + 8x + 27x +... + n3x).

Find the period of the function f(x) = sin(x + 8x + 27x +... + n3x).

Grade:11

2 Answers

Aditya Gupta
2081 Points
5 years ago
f(x)= sin [{n*(n+1)/2}^2x]
now, we know that period of f(ax+b) is T/|a|.
so, since period of sin is 2pi, the period of f(x) will be 8pi/[n*(n+1)]^2
Arun
25750 Points
5 years ago
sigma (1 + 8x + 27 x + …....n^3 x) =x *  n^2 (n+1)^2 / 4
let this is t
hence period is 2 * pi/t
 
Regards
Arun (askIITians forum expert)

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