# How do you find the Maclaurin series of #f(x)=cos(x)# ?

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To find the Maclaurin series of ( f(x) = \cos(x) ), you use the Taylor series expansion formula centered at ( x = 0 ). The Maclaurin series for ( \cos(x) ) is:

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

This series can be derived by substituting ( \cos(x) ) into the Taylor series formula and computing its derivatives 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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