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If f(x) = {((x^6=1/64)/(x^3-1/8),",",x !...

If `f(x) = {((x^6=1/64)/(x^3-1/8),",",x != 1/2),(k,",",x = 1/2):}` is continuous at `x = 1/2`, then the value of k is

A

`1/2`

B

`1/3`

C

`1/4`

D

`1/5`

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The correct Answer is:
C
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