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Let fk(x) = 1/k( sink x + cosk x), where x ∈ R and k ≥ 1. Then, f4(x) - f6(x) equals

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Let fk(x) = 1/k( sink x + cosk x), where x ∈ R and k ≥ 1. Then, f4(x) - f6(x) equals

(A)  1/4

(B)  1/12

(C)  1/6

(D)  1/3 

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Correct option  (B)  1/12

  

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