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If f(x)={(2cos x ,s in2x)/((pi-2x)^2),xl...

If `f(x)={(2cos x ,s in2x)/((pi-2x)^2),xlt=pi/2(e^(-cotx)-1)/(8x-4pi),x >pi/2` , then which of the following holds? `f` is continuous at `x=pi//2` `f` has an irremovable discontinuity at `x=pi//2` `f` has a removable discontinuity at `x=pi//2` None of these

A

h is continuous at `x = pi//2`

B

h has an irremovable discontinuity at `x = pi//2`

C

h has a removable discontinuity at `x = pi//2`

D

`f((pi^(+))/(2))=g((pi^(-))/(2))`

Text Solution

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The correct Answer is:
A, C, D
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