# The Precise Definition of a Limit
Before this section, the concepts of limits have really on
Simple Definition:
This section focuses on the formal **epsilon-delta definition of the limit**.
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> [!info]+ The Precise Definition of a Limit
> a
> a
> $\text{If, for every} \epsilon > 0,$
> a
Here is the definition translated into laymens terms
| Definition | Translation |
| ---------------------------- | ----------- |
| 1. For every $\epsilon > 0$, | 1. For every positive distance $\epsilon |