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Let f(x)={(1-cos4x)/(x^2),\ \ \ if\ x<0a...

Let `f(x)={(1-cos4x)/(x^2),\ \ \ if\ x<0a ,\ \ \ if\ x=0(sqrt(x))/(sqrt(16+sqrt(x))-4),\ \ \ if\ x >0` Determine the value of `a` so that `f(x)` is continuous at `x=0.`

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