Definition

Relating to a line that a curve approaches as it heads towards infinity, but never actually touches.

Example

The function has an asymptotic behavior as it approaches the value of zero.

Conversation

Have you heard about the asymptotic behavior of that function we studied?

Yeah, it's fascinating how it approaches a value without ever actually reaching it.

Exactly! I find it amazing how it can get so close yet never touch it.

Right? It really makes you think about limits in mathematics.

Synonyms & Antonyms

Root Explanation

Asymptotic → It is formed from "a-" (meaning not) and "symptote" (from Greek "symptōtikos", meaning falling together). The word describes a line that a curve approaches but never touches, hence not falling together with it.

Memory Tip

Think of 'not' ('a-') touching or meeting something that is 'falling together' ('symptote'). This helps you remember that 'asymptotic' refers to something that approaches a limit but never actually reaches it.

Visually Confused Words