Let .When we approach the point from the values which are greater than or smaller than , would have tendency to move closer to the value .
Now is a difficulty! We don't really know the value of since,it is indeterminate, so we need another way of answering this.
So instead of trying to find value of at let's try approaching closer and closer to as shown.
We are now faced with an interesting situation:
We summarize the behaviour of by using special word "limit"
We say that the limit of , as approaches is
And it is written in symbols as:
since, we can also represent it as,
So it is a special way of saying, "ignoring what happens to the function when , but as we get closer and closer to the value of the function gets closer and closer to