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Limits and infinity
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).
Here we consider the limit of the function f(x)=1/x as x approaches 0, and as x approaches infinity.
What happens to ln(x) as x approaches 0?
You can often tell if a function has a vertical asymptote just by looking at its graph.
Practice reasoning about limits of unbounded functions.
When taking a limit at infinity, you can either go right to positive infinity or left to negative infinity.
A few more examples of limits as x goes to infinity.
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.
Just like other limits, limits as x goes to infinity can be simplified and solved by manipulating things algebraically.
More practice with limits of unbounded functions.