f(x)={((5^(cosx)-1)/((pi)/(2)-x)",", x n...

`f(x)={((5^(cosx)-1)/((pi)/(2)-x)",", x ne (pi)/(2)), (log 5"," , x =(pi)/(2)):}` at `x =(pi)/(2)` is

A

f(x) is continuous at `x = pi/2`

B

f(x) has removable discontinuity at `x = pi/2`

C

f(x) has irremovable discontinuity at `x = pi/2`

D

none of these

Text Solution

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The correct Answer is:

B

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