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Given that f(x)= {((1-cos4x)/(x^(2))",",...

Given that `f(x)= {((1-cos4x)/(x^(2))",","if "x lt 0),(a",","if "x =0),((sqrt(x))/(sqrt(16+sqrt(x))-4)",","if "x gt 0):}`
If f(x) is continuous at x=0 find the value of a.

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The correct Answer is:
`a=8`
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