MEANS ??? It is important to note once again that we must look at values of x that are on both sides of x=a. We should also note that we are not allowed to use x=a in the definition. We will often use the information that limits give us to get some information about what is going on right at x=a, but the limit itself is not concerned with what is actually going on at x=a. The limit is only concerned with what is going on around the point x=a. This is an important concept about limits that we need to keep in mind.
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See. When you compute limits, you don't look at what the value of limit at a particular constant will be. You look at what it's value will be just before the constant and after the constant. I will try to give you a better outlook through an example and a graph.
But before that, keep it mind limit x tending to a means what the value of that function is going to be as you are close to reaching a not exactly on a. It's not even necessary that a value should exist at x=a.
I hope it helps!
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