# How do you find the taylor series for #(1/(1-x^2))# centered around #a = 3#?

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To find the Taylor series for ( \frac{1}{1-x^2} ) centered around ( a = 3 ), you would first find the derivatives of the function. Then, evaluate these derivatives at ( x = 3 ) to find the coefficients of the Taylor series. The general formula for the Taylor series expansion centered at ( a ) is given by:

[ f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(a)}{n!} (x - a)^n ]

For ( \frac{1}{1-x^2} ), start by finding the derivatives of ( f(x) ). Then, evaluate them at ( x = 3 ) to find the coefficients of the Taylor series.

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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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