00:01
For the continuity, we have to check three things.
00:04
For example, if the function is whether check on point a is continuous or not.
00:11
So we have to just look at the right limit of the function when x approaching a and the left limit of the function when x approaching a from left, and that should be equal to f of a.
00:25
So in this question, we have to check the first expression is continuous.
00:31
When x goes to 2.
00:33
So for the first one, the limit value when x goes to 2, f of x, is it equal to or not? the image of the function when x is equal to 2.
00:45
Let's find the limit of the function.
00:48
We have to just plug in 2 4x, which is 2 times 2 squared minus 3 times 2 minus 3.
00:53
This is the limit value.
00:55
And let's check is it equal to f of 2.
00:58
So the f of 2 which is equal to let me just write in a parentheses, which is two times two squared minus three times two minus three.
01:06
So the limit value here, which is 8 minus 6 minus 3, is it equal to or not, which is two times, two times four minus six and minus three.
01:18
So here we got negative one.
01:20
Here we got negative one.
01:22
So the limit value of the function and the image of the function at x is equal to two is equal to each other...