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Question

Mathematics Question on Continuity and differentiability

Let f(x)=(1cos4x)x2f(x) = \frac{(1 - cos 4x)}{x^2}, if x < 0 and a, if x = 0 and x((16+x)4)\sqrt{\frac{x}{(\sqrt{(16+\sqrt{x})}-4)}}, if x > 0}. If f(x)f(x) is continuous at x = 0, determine the value of a.

Answer

The correct answer is: