Question

Help!
I need to find the limit of lim y -> 0, sin3y / 4y

Answer 1

do you know that
lim x->0 sin(x)/x = 1 ?

Answer 2

Yes

Answer 3

if you multiply top and bottom of sin(3y)/4y by ¾
you get ¾ * sin(3y) / 3y

Answer 4

if we rename 3y to x
notice that as y-> 0, x ->0
your problem becomes

lim x->0 ¾ * sin(x)/x
which can be written as
¾ * lim x->0 sin(x)/x

Answer 5

Which equals 3/4

Answer 6

yes

Answer 7

Thanks, do you want to be my personal tutor lol

Answer 8

Can I ask another question

Answer 9

Lim h->0 , h/sin3h