f(x) = ((3^sin x) - 1)^2/(x log(x + 1)), x ≠ 0

Question

If f is continuous at x = 0, then find f(0)

\(f(x) = \frac{(3^{sin\,x}-1)^2}{x\,log(x + 1)},\) x ≠ 0

f(x) = ((3^{sin x}) - 1)²/(x log(x + 1)), x ≠ 0

Answer 1

f(x) = ((3^{sin x}) - 1)²/(x log(x + 1))

Given, f is continuous at x = 0