Question

If f(x) is defined in x ∈ (-1/3, 1/3), f(x) = {((1/x)log_e((1 + 3x)/(1 - 2x)), x ≠ 0), (k,  x = 0) Find k such that f(x) is continuous

Answer 1

∴ f(x) will be continuous

if f(0) = lim_(x → 0) f(x)