Question:

Let \(f(x) = \frac{(1 - cos 4x)}{x^2}\), if x < 0 and a, if x = 0 and \(\sqrt{\frac{x}{(\sqrt{(16+\sqrt{x})}-4)}}\), if x > 0}. If \(f(x)\) is continuous at x = 0, determine the value of a.

Updated On: Jul 16, 2024
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