
Limit
Concept history
A revision trail for this concept page.
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)]].