# How do you use sigma notation to represent the series #1/2+1/4+1/8+…#?

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The series ( \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \ldots ) can be represented using sigma notation as follows:

[ \sum_{n=1}^{\infty} \frac{1}{2^n} ]

This notation indicates the sum of the terms ( \frac{1}{2^n} ) as ( n ) ranges from 1 to infinity.

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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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