# Limit definition

Define a limit graphically

© BrainMass Inc. brainmass.com February 24, 2021, 2:22 pm ad1c9bdddfhttps://brainmass.com/math/real-analysis/formal-definition-limit-explained-graphically-16710

#### Solution Preview

Suppose that f(x) is defined in a neighborhood of the point 'c' (a finite number) except possibly at the point c itself. Then (see attached)

Formal Definition of a Limit:

Suppose that f(x) is defined in a neighborhood of the point 'c' (a finite number) except possibly at the point c itself. Then

if for every there is a >0, such that

We must exclude |x-c|=0 (i.e., we don't want ...

#### Solution Summary

This shows how to define a limit graphically.

$2.19