Question

`lim_(x -> 0) (sin 4x + sin 2x)/(sin5x - sin3x)` = ______.

पर्याय

• `1/2`

• `1/3`

• 2

• 3

Answer 1

`lim_(x -> 0) (sin 4x + sin 2x)/(sin5x - sin3x)` = 3.

Explanation:

`lim_(x -> 0) (2sin 3x cosx)/(2sinx cos4x) = lim_(x -> 0) 3((sin3x)/(3x)) (x/(sin x)) cosx/(cos4x)`

= 3