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asymptote

Say it: AS-im-toht /ˈasɪm(p)təʊt/ · noun

What “asymptote” means

A line a curve keeps approaching without closing the gap.

More precisely: A line a curve gets ever closer to but never reaches; figuratively, a limit you keep approaching.

Example: “My bench press is nearing an asymptote: each month brings smaller gains.”

When to use it

In maths, or figuratively in thoughtful conversation, for a boundary that progress approaches ever more closely.

Similar words

limit, ceiling, plateau

Where it comes from

From Greek asumptōtos, 'not falling together'.

Quick check

On a graph, a curve creeps closer and closer to a straight line while a gap remains. What is that line?

an asymptote or a tangent?

Show the answer

an asymptote

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