# Limits and infinity

7 videos

2 skills

You have a basic understanding of what a limit is. Now, in this tutorial, we can explore situation where we take the limit as x approaches negative or positive infinity (and situations where the limit itself could be unbounded).

### Limits and infinity

VIDEO
7:41 minutes

Here we consider the limit of the function f(x)=1/x as x approaches 0, and as x approaches infinity.

### Visually determining vertical asymptotes

VIDEO
1:46 minutes

You can often tell if a function has a vertical asymptote just by looking at its graph.

### Limits at infinity where f(x) is unbounded

PRACTICE PROBLEMS

Practice reasoning about limits of unbounded functions.

### Limits at positive and negative infinity

VIDEO
4:07 minutes

When taking a limit at infinity, you can either go right to positive infinity or left to negative infinity.

### Limits with two horizontal asymptotes

VIDEO
5:14 minutes

Here we look at a function with distinct horizontal assymptotes: One for the limit as x goes to infinity, and one for the limit as x goes to negative infinity.

### Limits at infinity using algebra

VIDEO
5:26 minutes

Just like other limits, limits as x goes to infinity can be simplified and solved by manipulating things algebraically.

### Limits at infinity where x is unbounded

PRACTICE PROBLEMS

More practice with limits of unbounded functions.