Question

Let f(x) = {1 + | sin x|}^{a/|sin x|}, pi/6 < x < 0

f(x) = b, x = 0

f(x) = e^{tan 2x/tan 3x}, 0 < x < pi/6

Determine a and b such that f(x) is continuous at x = 0.

Answer 1

Since, f(x) is continuous at x = 0