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The minimum sampling frequency (in samples/sec) required to reconstruct the following signal from its samples without distortion
$$x\left( t \right) = 5{\left( {\frac{{\sin 2\pi 1000t}}{{\pi t}}} \right)^3} + 7{\left( {\frac{{\sin 2\pi 1000t}}{{\pi t}}} \right)^2}$$
would be

Answer & Solution
Correct Answer: Option C
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