One Sided Limit: Meaning, Notation, and Example
A limit taken from only the left or only the right.
Definition and meaning
One-sided limits describe a single branch near a boundary or jump.
The term one sided limit names a precise mathematical idea, not merely a visual pattern. Read its notation as a statement with hypotheses, quantities, and a conclusion.
Notation
Read every symbol with its domain and hypotheses; notation compresses an argument but does not remove its conditions.
Worked example
Identify the quantities in the notation, state the relevant hypothesis, and explain what conclusion the one sided limit statement permits.
Common confusion
Do not treat one sided limit as a keyword that automatically selects a formula; its hypotheses and domain still control the conclusion.