What is the limit of (sin2s)^4/s^4 as s approaches 0?

[beneakin]

Homework Statement

Find the limit or prove it does not exist.

lim as s->0 (sin2s)^4/s^4

Homework Equations

i know i have to use sinx/x = 1 but I am having trouble manipulating the function into that form

The Attempt at a Solution

my first thought was that i could just take the 2 out as a constant would that just be (2^4)(sinx)^4/x^4

but then i have (sinx)^4 not sinX^4 I am stuck on what king of algebra will work here

 

[rocomath]

a^2/b^2=(a/b)^2

 

[rocomath]

Lim_(x->0) of sin(ax)/(ax)=1

 

[beneakin]

ahh so then (2*1)^4 = 16

thanks a lot

 

[rocomath]

ahh so then (2*1)^4 = 16

thanks a lot

good, welcome!