00:01
For this problem, we need to show that the function g ft, she is equal to t squared plus five t over to t plus one.
00:08
It's continuous at equal to two.
00:12
By definition, a function is continuous at a point.
00:16
If the following conditions hold, the first one would be pour the function to be defined at the given point.
00:25
That means that the function exists at this point.
00:29
And then you have limit as x approaches a of f of x exists.
00:39
That means the one sided limits are equal.
00:44
So limit as extra purchased a from the left.
00:48
Other function equals limit as x approaches a from the right of this function.
00:55
And then lastly, we need to show that the limit as x approaches a ah f of x.
01:04
This is equal to f.
01:05
Of a...