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The period of f(x)= ( x n-1 )+ ( x n ), n Z, n 2 is

Options

  1. A2 n(n-1)
  2. B4 n(n-1)
  3. C2 n(n-1)
  4. DNone of the above

Correct answer

C. 2 n(n-1)

Step-by-step solution

Given that, f(x)= ( x n-1 )+ ( x n ) Let f(x)=g(x)+p(x), n 2 Period of g(x)= 2 (n-1) =2(n-1) and period of p(x)= 2 n =2 n Period of f(x)= LCM of p(x) and q(x)=2 n(n-1)

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