The value of l i m x → 0 sin ⁡ x 3 5 x is equal to (where, . represents the greatest integer function)

Question

The value of l i m x → 0 sin ⁡ x 3 5 x is equal to (where, . represents the greatest integer function), 1 3, 0, 5 3, 1

MARKS App · Accepted Answer

5 x - 1 5 x ≤ 5 x sin ⁡ x 3 5 x - 1 ⏟ h x sin ⁡ x 3 5 x ⏟ f x ≤ sin ⁡ x 3 5 x ⏟ g x by sandwich theorem ∵ l i m x → 0 g x = l i m x → 0 h x = 5 3 ∴ l i m x → 0 f x = 5 3

Search any question & find its solution

Looking for more such questions to practice?