The value of lim x → 0 + ⁡ x cot ⁡ x + x ln ⁡ x is equal to

Step-by-step solution

lim x → 0 + ⁡ x cot ⁡ x + lim x → 0 + ⁡ x ln ⁡ x = lim x → 0 + ⁡ x tan ⁡ x + lim x → 0 + ⁡ ln ⁡ x 1 x = lim x → 0 + ⁡ x tan ⁡ x + lim x → 0 + ⁡ 1 x - 1 x 2 = 1 + lim x → 0 + ⁡ - x = 1 + 0 = 1