in the limit vs on the limit

Both 'in the limit' and 'on the limit' are correct, but they are used in different contexts. 'In the limit' is commonly used in mathematics to describe a situation as it approaches a certain value or condition. 'On the limit' is more commonly used in sports or other activities to describe being at the maximum or extreme point of performance.

Last updated: March 21, 2024 • 6729 views

in the limit

This phrase is correct and commonly used in mathematics to describe a situation as it approaches a certain value or condition.

This phrase is typically used in mathematical contexts to describe the behavior of a function or sequence as it approaches a certain value or condition.

Examples:

In the limit as x approaches infinity, the function approaches zero.
The speed of the car tends to zero in the limit as time goes to infinity.

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Last updated: November 27, 2024

Jul 7, 2019 ... A Canadian writer says In the limit, we will be able to create bionic humans. Progress towards this goal was portrayed in a remarkable video.
Jan 28, 2022 ... In the limit thinking just means taking a variable (or parameter) and thinking of the effects when sending that parameter to extreme values (high or low).
Language identification in the limit ... Language learnability has been investigated. This refers to the following situation: A class of possible languages is ...
Dec 24, 2012 ... In "The Limit", this text appears on the outside of the labyrinth before transforming into "No cheating or you die." Do these math equations ...
Aug 7, 2013 ... Why does factoring eliminate a hole in the limit? ... I understand that to evaluate a limit that has a zero ("hole") in the denominator we have to ...
Gravitational Radiation in the Limit of High Frequency. I. The Linear Approximation and Geometrical Optics · Abstract · See Also · References (Subscription ...
Apr 10, 2024 ... Our main result is that there is an agent that is able to generate in the limit for every countable list of candidate languages.
Gravitational Radiation in the Limit of High Frequency. II. Nonlinear Terms and the Effective Stress Tensor. Richard A. Isaacson. Department of Physics and ...
May 1, 1978 ... We show that in the limit N→∞ integrals with respect to Haar measure of products of the elements of a matrix in SO(N) approach corresponding moments of a set ...
The terms computable in the limit, limit recursive and recursively approximable are also used. One can think of limit computable functions as those admitting an ...

Alternatives:

as the limit approaches
approaching the limit
as the value approaches the limit
as it approaches the limit
as the condition approaches the limit

on the limit

This phrase is correct and commonly used in sports or other activities to describe being at the maximum or extreme point of performance.

This phrase is typically used in contexts related to sports or other activities to describe being at the maximum or extreme point of performance.