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If f(x) = {(1, ",", "when" 0 lt x le (3p...

If `f(x) = {(1, ",", "when" 0 lt x le (3pi)/4),(2sin(2/9x), ",", "when" (3pi)/4 lt x lt pi):}`, then

A

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

B

(b) f(x) is continuous at `x = pi`

C

(c) f(x) is continuous at `x = (3pi)/4`

D

(d) f(x) is discontinuous at `x = (3pi)/4`

Text Solution

Verified by Experts

The correct Answer is:
C
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