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Question

If f(x)=1,when 0<x3π42sin29x,when 3π4<x<π

A
f(x) is continuous at x = 0
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B
f(x) is continuous at x = pi
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C
f(x) is continuous at x=3π4
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D
f(x) is discontinuous at x=3π4
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Solution

The correct option is C f(x) is continuous at x=3π4
Here f(3π4)=1 and limx3π4f(x)=1
limx3π4+f(x)=limk02 sin29(3π4+h)=2 sinπ6=1
Hence f(x) is continuous at x=3π4

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