L'Hospital's Rule and Indeterminate Forms

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Indeterminate Forms and L'Hospital's Rule

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Indeterminate Differences

An indeterminate difference is a limit of $f(x)-g(x)$ where both $f(x)$ and $g(x)$ are going to $\infty$ (or both are going to $-\infty$ ).

DO: The limit of $f(x)-g(x)$ that looks like $\infty+\infty$ is not indeterminate. Why not?

The following video shows how to manipulate indeterminate differences to make them look like indeterminate quotients, which we can then tackle with L'Hospital's rule.