# What is the Maclaurin series for? : #1/root(3)(8-x)#

# 1/root(3)(8-x) = 1 + 1/48x + 1/576 x^2 + 7/41472x^3 + ... #

# |x| lt 8 #

We can derive a MacLaurin Series by using the Binomial Expansion: The binomial series tell us that:

We can write:

The Radius of Convergence is given by:

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The Maclaurin series is used to approximate functions as infinite polynomials centered at zero. The Maclaurin series expansion for ( \frac{1}{\sqrt{3}(8-x)} ) is ( \sum_{n=0}^{\infty} \frac{(8-x)^n}{\sqrt{3} \cdot 8^{n+1}} ).

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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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