lim((sin(2x))^(4x)) x->0

Question

Could you help me pls? It's urgent!

Answer 1

Given function is y = Sin2x/4x

The limit is x approaches to 0.

Sina/a = 1

let a = 2x

observe 4x = 2x*2

Now Sin2x/4x

lim(x-->0)  1/2(Sin2x/2x)

= 1/2