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If f(x)=(2cosx-sin2x)/((pi-2x)^(2)) ,g(x...

If `f(x)=(2cosx-sin2x)/((pi-2x)^(2))` ,`g(x)=(e^(-cosx)-1)/(8x-4pi)`
`h(x)=f(x)` for `x lt pi/2`
`h(x) = g(x)` for `x gt pi/2`then which of the following holds?

A

h is not differentiable 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

Verified by Experts

The correct Answer is:
A, C, D
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