If the function \[f(x)=\left[ \frac{{{(x-2)}^{3}}}{a} \right]\sin (x-2)+a\,\cos (x-2),\] [.] denotes the greatest integer function is continuous and differentiable in [4, 6], then

If the function \[f(x)=\left[ \frac{{{(x-2)}^{3}}}{a} \right]\sin (x-2

1.	If the function \[f(x)=\left[ \frac{{{(x-2)}^{3}}}{a} \right]\sin (x-2)+a\,\cos (x-2),\] [.] denotes the greatest integer function is continuous and differentiable in [4, 6], then
A.	\[a\in [8,\,64]\]
B.	\[a\in (0,\,8]\]
C.	\[a\in [64,\,\infty )\]
D.	None of these
Answer» D. None of these

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If the function \[f(x)=\left[ \frac{{{(x-2)}^{3}}}{a} \right]\sin (x-2)+a\,\cos (x-2),\] [.] denotes the greatest integer function is continuous and differentiable in [4, 6], then

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