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

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

B

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

C

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

D

(d) none of these

Verified by Experts

The correct Answer is:

B

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