00:01
In this problem, we have been asked to find the limit.
00:03
So we have the limit as x tends to zero of 10 of 2x divided by sine of 9x.
00:15
So how are we going to solve this? so what we're going to do is add some extra factors.
00:23
So we have 10 of 2x.
00:26
What we're going to do is we are going to divide this.
00:30
By 2x.
00:32
And here we have sign of 9x in the denominator.
00:37
And what we're going to do is we're going to put in the numerator 9x.
00:43
And so we have added an extra 9x and a 2x.
00:47
So to cancel those out, we're going to have a 2x divided by 9x.
00:53
And we don't need to have these 2xes.
00:55
We can just cancel those two out.
00:57
So we're just going to have this...