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If f(x) = {(1, when 0 < x ≤ 3π/4), (2sin(2/9)x, when 3π/4 < x < π) then

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in Limit, continuity and differentiability by (41.6k points)

If f(x) = {(1, when 0 < x ≤ 3π/4), (2sin(2/9)x, when 3π/4 < x < π) then

(A) f(x) is continuous at x = 0

(B) f(x) is continuous at x = π

(C) f(x) is continuous at x = 3π/4 

(D) f(x) is discontinuous at x = 3π/4

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Answer is (C) f(x) is continuous at x = 3π/4

Hence, f(x) is continuous at x = 3π/4

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