# Limit of a Variable

## Limit of a Variable

A fixed magnitude that a variable infinitely approaches.

### Examples

• The following sum has a limit of 2 : 1 + $$\frac{1}{2}$$ + $$\frac{1}{4}$$ + $$\frac{1}{8}$$ + $$\frac{1}{16}$$ + $$\frac{1}{32}$$ + …
• The following sequence converges to 2 : 2 + $$\frac{1}{2}$$, 2 – $$\frac{1}{2}$$, 2 + $$\frac{1}{3}$$, 2 – $$\frac{1}{3}$$, …