Interactive Real Analysis
- part of Definition 6.1.8: One-Sided Limits of a Function
If f is a function with domain D and
c 
closure(D).
Then:
Context
closure(D).
Then:
- f has a left-hand limit L at c
if for every
> 0 there exists 
> 0
such that if x D
and c - < x < c then
| f(x) - L | < . We write
f(x) = L
- f has a right-hand limit L at c
if for every > 0 there exists
> 0 such that if
x D
and
c < x < c +
then
| f(x) - L | < .
We write
f(x) = L
Context