00:01
In this problem, we're trying to solve for the limit of this function.
00:05
Now, this function happens to be a rational function, because we have a polynomial on the top and a polynomial on the bottom.
00:12
So, because it's a rational function, that means it's continuous.
00:16
And because it's continuous, we know that the left side limit is equal to the right side limit, which is also just the entire limit, or the limit of x, the limit of f of x as x approaches a is going to equal to f of a.
00:29
So if we want to solve for this problem, we can try by just plugging in.
00:33
But if we try plugging in in this problem, we'll see that we have a big problem.
00:38
That is that if we try plugging it at the bottom in the denominator, 5 for x, we'll see that we have 5 squared, which is going to equal 25, minus 25, which is going to equal to 0...