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The value of k for which the function f(x) = {((4/5)^(tan4x/tan5x), 0 < x < π/2), (k + 2/5, x = π/2),

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The value of k for which the function f(x) = {((4/5)(tan4x/tan5x), 0 < x < π/2), (k + 2/5, x = π/2), is continuous at x = π/2 is

(A) 17/20 

(B) 3/5

(C) - 2/5

(D) 2/5

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Answer is (B) 3/5

We have

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