# What are two examples of convergent sequences?

Pick your favorites, or make your own!

This is actually the geometric series formula.

There are many different ways to make convergent sequences. Some are intuitive. Some are not. Most require more justification than is provided here if the question is to show why they converge, but it is still useful to know what sorts of sequences converge and how.

And, finishing with a doozy, we have the Gaussian integral:

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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