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If the function f(x)=[((x-2)^3)/a]sin(x-...

If the function `f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot]` denotes the greatest integer function, is continuous in `[4,6],` then find the values of `adot`

A

`a epsilon [8,64]`

B

`a epsilon (0,8]`

C

`a epsilon [64,∞]`

D

None of these

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The correct Answer is:
C
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