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If {:(f(x),=(20^x + 3^x - 6^x- 10^x)/(1-...

If `{:(f(x),=(20^x + 3^x - 6^x- 10^x)/(1-cos 8x),",","for"x != 0),(,=(k/16)log(10/3)cdotlog 2, ",","for"x = 0):}`
is continuous at x = 0, then the value of k is

A

`sin^(2) 30^(@)`

B

`3^(log3(1/2))`

C

`root(3)(1/4)`

D

`(log_(2)2)/(3)`

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The correct Answer is:
B
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