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

Start the conversation

Send me notifications when other members comment.

Please create a username to comment.

-ADS BY GOOGLE

File Extensions and File Formats

Powered by:

SearchCompliance

  • risk management

    Risk management is the process of identifying, assessing and controlling threats to an organization's capital and earnings.

  • compliance as a service (CaaS)

    Compliance as a Service (CaaS) is a cloud service service level agreement (SLA) that specified how a managed service provider (...

  • data protection impact assessment (DPIA)

    A data protection impact assessment (DPIA) is a process designed to help organizations determine how data processing systems, ...

SearchSecurity

  • identity provider

    An identity provider is a system component that is able to provide an end user or internet-connected device with a single set of ...

  • firewall

    A firewall is software or firmware that enforces a set of rules about what data packets will be allowed to enter or leave a ...

  • encryption

    Encryption is the method by which information is converted into secret code that hides the information's true meaning. The ...

SearchHealthIT

SearchDisasterRecovery

  • business continuity plan (BCP)

    A business continuity plan (BCP) is a document that consists of the critical information an organization needs to continue ...

  • disaster recovery team

    A disaster recovery team is a group of individuals focused on planning, implementing, maintaining, auditing and testing an ...

  • cloud insurance

    Cloud insurance is any type of financial or data protection obtained by a cloud service provider. 

SearchStorage

Close