Limit

Concept history

A revision trail for this concept page.

3 revisions

Back

Revision 6045

9/28/2026, 5:26:53 AM · darktoaster

match with fr trad

Compare with revision 60442 changed lines

1##### Intuition

2A limit is a the behaviour of a quantity when a certain parameter moves towards a certain value.

2In general, a limit is a the behaviour of a quantity when a certain parameter moves towards a certain value.

For example, the function $f(x)=\frac{1}{x}$ has a limit $0$ when $x$ goes to [[infinity|infinity]] : the larger $x$ gets, the smaller $\frac{1}{x}$ becomes. Note that the limit $0$ is never reached in this case.

5##### Specific notions

6The term "limit" refers to various notions:

7- The limit of a sequence

8- The limit of a function

9- The limit of a sequence of functions

11##### Unification

12All these definitions are particular cases of a general notion of limit, see [[Limit (topology)|Limit (topology)]].

Revision 6044

9/28/2026, 5:26:19 AM · darktoaster

Shared settings updated from fr translation

linked exercises~~None~~Convergence de la suite

u_n = \frac{1}{n+1}

Revision 1059

8/7/2026, 8:35:49 PM · Ancient Tree

Concept created

##### Intuition 
A limit is a the behaviour of a quantity when a certain parameter moves towards a certain value.
For example, the function $f(x)=\frac{1}{x}$ has a limit $0$ when $x$ goes to [[infinity|infinity]] : the larger $x$ gets, the smaller $\frac{1}{x}$ becomes. Note that the limit $0$ is never reached in this case.

##### Specific notions
The term "limit" refers to various notions:
- The limit of a sequence
- The limit of a function
- The limit of a sequence of functions

##### Unification
All these definitions are particular cases of a general notion of limit, see [[Limit (topology)|Limit (topology)]].