# Anyone can explain to me what's the difference between "limit", "limsup" and "liminf" of a function? It would be helpful to explain with concrete example.

##### 1 Answer

I'll try to give an example below.

#### Explanation:

**Example1 :**

Every deleted

Every deleted

As we know

**Example 2:**

Every deleted

Every deleted

We know that

We can use the squeeze theorem on the left and right to get the result.

If we have lim sup = lim inf, then that value is also the limit.