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For what value of k, function f(x)={((k ...

For what value of k, function `f(x)={((k cosx)/(pi-2x)",","if "x ne (pi)/(2)),(3",", "if " x =(pi)/(2)):}` is continuous at `x=(pi)/(2)`?

A

3

B

-3

C

6

D

-6

Text Solution

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The correct Answer is:
C
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  4. If f(x) is contiuous at x= pi/2, where f(x)=(cosec x - sin x)/(pi/2 -...

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  14. If f(x) is continuous at x=0, where f(x)={:{((sec^(2)x)^(cot^(2)x)", ...

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  15. If f(x) is continuous at x=pi/4, where f(x)=(1+cos 2x)^(4sec 2x), for ...

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