00:01
Question sissy asked to find the limit graphically, and then use standard theorem to confirm your answer.
00:06
As you can see, we've graphed y equals x squared sinex right here, and it's a green function right there.
00:14
And we can see that as x approaches zero from the left and from the right, the limit of x squared sinex as x approaches zero is zero.
00:26
So now let's use the standard theorem in order to confirm our answer.
00:30
Okay, so let's go to the next page.
00:34
We know that the limits, the bounds of sine x are negative 1 and positive 1.
00:45
We can multiply every part by x squared.
00:50
So this becomes negative x squared is less than or greater to, less than or equal to x squared sine x, which is less than or equal to positive x squared.
01:04
So it means that x squared sine x is sandwiched in between negative x squared and positive x squared...