00:01
Okay, there friends.
00:03
So for this problem, we need to find the limit as x goes to zero of sine of 4x over sine of 6x.
00:11
Now, in future chapters, actually in the next section, i believe, you might learn, or in the next couple of sections, you might learn how to solve this with a different technique.
00:21
That's going to be a lot simpler, and it will become your go -to.
00:24
But for that, for now, we need to solve it with the techniques that we know.
00:29
We need to solve it with the algebraic techniques discussed in this section.
00:32
I'd like to draw your attention to, first of all, equation six and 2 .4 and example 12.
00:40
Now equation six tells us that we have a limit that looks like the limit of, let's say, 3x going to 0 of sine of 3x over 3x equals 1.
01:02
Now this isn't quite the form of our problem, but we'll be able to to rewrite our problem in a form that mimics this, we'll get something that looks like one over one except with a factor in front and then that will become our limit...