# What is the Maclaurin series of #f(x) = cos(x)#?

Thus, we need to take derivatives until we see a unique pattern.

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The Maclaurin series expansion of ( f(x) = \cos(x) ) is given by:

[ \cos(x) = \sum_{n=0}^{\infty} \frac{(-1)^n x^{2n}}{(2n)!} ]

This series represents the cosine function centered at ( x = 0 ), also known as the Maclaurin series, where each term is derived from the function's derivatives evaluated at ( x = 0 ).

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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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