# What is the Taylor series for #cosx# centered around #x = pi#?

A Taylor series' standard formula is:

etc.

Making this general...

Thus, our gut tells us to represent the series as follows:

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The Taylor series for ( \cos(x) ) centered around ( x = \pi ) is:

[ \cos(x) = \sum_{n=0}^{\infty} \frac{(-1)^n}{n!} (x - \pi)^n ]

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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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