Question

Let f(x) = {((1 - cos4x)/x2 : x < 0), (a, : x = 0), (√x/√(16 + √x - 4) : x > 0) Determine the value of a, if possible, so that the function is continuous at x = 0.

Answer 1

It is given that f(x) is continuous at x = 0,

so, lim (x→0) f(x) = f(0)