limit
1 of 2noun/ˈlɪmɪt/
Forms:limits
1
the greatest possible degree or extent of something, beyond which it cannot extend or exceed
- The engineer's innovative designs pushed the limits of modern technology.
- The conference has a limit of 200 attendees to maintain an intimate setting.
- The court ruling highlighted the limits of governmental authority in private matters.
- The intense debate revealed the limits of their mutual understanding and agreement.
- The experiment tested the limits of human endurance in extreme conditions.
2
the final or farthest point in a sequence, process, or progression
- They approached the limit of human knowledge.
- The negotiations reached their limit after hours of discussion.
- The road ends at the limit of the city.
- The investigation proceeded to the limit of available evidence.
- The signal was lost at the limit of the network range.
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3
the edge or border that defines the extent of a particular space or area
- They set up their tents just inside the park's limits.
- The border guards patrolled the country's limits diligently.
- The property line marks the legal limit of his land.
- They reached the limit of the village after a long hike.
- The fence represents the limit of the animal enclosure.
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4
the utmost level to which a person can endure or tolerate something
- The intense training pushed the athletes to their physical limit.
- She faced her emotional limit after weeks of relentless stress.
- He worked tirelessly, often reaching the limit of his energy.
- The mountain climb tested the hikers' limits of endurance.
- The emergency response team operated at their limit during the crisis.
5
the maximum extent or quantity of something that is legally permitted or allowed by regulations or laws
- The legal limit for blood alcohol concentration while driving is 0.08% in many countries.
- The fishing season has a limit on the number of fish that can be caught to prevent overfishing.
- The law imposes a limit on campaign contributions to maintain fair elections.
- There are strict limits on the emission of pollutants from industrial plants to protect the environment.
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6
the value that a function or sequence approaches as its input or index gets close to a particular value
C2Learn more on Wikipedia- In calculus, the concept of a limit is essential for defining derivatives, as it involves understanding how a function behaves near a given point.
- The limit of a sequence is the value it approaches as the index goes to infinity.
- The limit of a fraction where the numerator and denominator both approach infinity may involve applying L'Hôpital's Rule.
- The concept of limits is used to define continuity in functions, where the limit of the function at a point equals the function's value at that point.
- Evaluating the limit of a difference quotient leads to the definition of a derivative in calculus.
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