The value of lim x → 0 cos ⁡ x + sin ⁡ x 1 x is equal to (take e = 2 .71 )

Question

The value of lim x → 0 cos ⁡ x + sin ⁡ x 1 x is equal to (take e = 2 .71 ),

MARKS App · Accepted Answer

∵ lim x → a ⁡ f x ϕ x = e lim x → a ⁡ ϕ x f x - 1 as f x → 1 & ϕ x → ∞ as x → a So, lim x → 0 cos ⁡ x + sin ⁡ x 1 x = e lim x → 0 ⁡ 1 x cos ⁡ x + sin ⁡ x - 1 = e lim x → 0 ⁡ - sin ⁡ x + cos ⁡ x 1 = e

Search any question & find its solution

Looking for more such questions to practice?