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Let f(x)={{:((1-cos 4x)/(x^(2))",","when...

Let f(x)`={{:((1-cos 4x)/(x^(2))",","when" x lt 0),(a",","when"x=0),((x)/(sqrt(16+sqrtx)-4)",","when" x gt0):}`
Determine the value of a, if possible, so that f(x) is continuous at x=0.

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The correct Answer is:
a=8
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