Browse Definitions :
Definition

limit

In mathematics, a limit is a value toward which an expression converges as one or more variables approach certain values. Limits are important in calculus and analysis.

Consider the limit of the expression 2 x + 3 as x approaches 0. It is not difficult to see that this limit is 3, because we can assign the value 0 to the variable x and perform the calculation directly. This sort of substitution is not possible, however, when we consider the limit of the expression 1/ x - 2 as x increases without limit. (The expression for this is ' x approaches infinity.') It is apparent that 1/ x approaches 0 as 1/ x approaches infinity, although we cannot directly substitute infinity for x and calculate 1/ x = 0. The limit, as x approaches infinity, of 1/ x - 2 is therefore equal to -2.

These expressions would be denoted in mathematical literature as follows:

The term 'limit' is symbolized 'Lim.' The arrow means 'approaches.' Infinity is symbolized by the sideways 8.

Also see infinity and Mathematical Symbols .



This was last updated in September 2005

SearchCompliance

  • information governance

    Information governance is a holistic approach to managing corporate information by implementing processes, roles, controls and ...

  • enterprise document management (EDM)

    Enterprise document management (EDM) is a strategy for overseeing an organization's paper and electronic documents so they can be...

  • risk assessment

    Risk assessment is the identification of hazards that could negatively impact an organization's ability to conduct business.

SearchSecurity

  • cyber espionage

    Cyber espionage, also called cyber spying, is a form of cyber attack that is carried out against a competitive company or ...

  • virus (computer virus)

    A computer virus is malicious code that replicates by copying itself to another program, computer boot sector or document and ...

  • spam trap

    A spam trap is an email address that is used to identify and monitor spam email.

SearchHealthIT

SearchDisasterRecovery

  • risk mitigation

    Risk mitigation is a strategy to prepare for and lessen the effects of threats faced by a business.

  • call tree

    A call tree is a layered hierarchical communication model that is used to notify specific individuals of an event and coordinate ...

  • Disaster Recovery as a Service (DRaaS)

    Disaster recovery as a service (DRaaS) is the replication and hosting of physical or virtual servers by a third party to provide ...

SearchStorage

  • dropout

    Dropout refers to data, or noise, that's intentionally dropped from a neural network to improve processing and time to results.

  • cloud storage

    Cloud storage is a service model in which data is transmitted and stored on remote storage systems, where it is maintained, ...

  • cloud testing

    Cloud testing is the process of using the cloud computing resources of a third-party service provider to test software ...

Close