Let f x = x 3 x - 1 1 - cos ⁡ x for x ≠ 0 . Then value of f 0 , which make f x continuous at x = 0, is

Question

Let f x = x 3 x - 1 1 - cos ⁡ x for x ≠ 0 . Then value of f 0 , which make f x continuous at x = 0, is, log ⁡ 3, 1 2 log ⁡ 3, 1 2 log ⁡ 3, 2 log ⁡ 3

MARKS App · Accepted Answer

lim x → 0 ⁡ f x = lim x → 0 ⁡ x 3 x - 1 1 - cos ⁡ x = lim x → 0 ⁡ 3 x - 1 x ⋅ x 2 1 - cos ⁡ x = log ⁡ 3 ⋅ 1 1 2 = 2 log ⁡ 3