Question

sin12x/sin7x find the limit

Answer 1

with no doubt l'hopital not allowed

Answer 2

\[\frac{sin(12x)}{sin(7x)}\]
here this is easier to look at

Answer 3

\[\lim_{x\to 0}\frac{\sin(12x)}{\sin(7x)}\]

Answer 4

Yes, but what is the correct answer? I keep getting 12/7. Not sure if this is right.

Answer 5

what else could it be?

Answer 6

you want the math teacher way?

Answer 7

I want the helpful way..

Answer 8

the snap way is l'hopital but i will guess that you did not get there yet
the slow way is
\[\lim_{x\to 0}\frac{\sin(ax)}{\sin(bx)}=\frac{\sin(ax)}{ax}\frac{bx}{\sin(bx)}\frac{ax}{bx}\]

Answer 9

this requires knowing that
\[\lim_{x\to 0}\frac{\sin(x)}{x}=1\] which you need

Answer 10

Wow, never learned that, I know that, that is equal to one. thanks!

Answer 11

yw

Answer 12

That... That is very good approach... wow

I shed manly tear at the beauty of mathematics