One-sided limit

The one-sided limit gives the value that f(x) approaches as x tends to a using only values on one side of a, either greater than a (right-hand limit, written a^+) or less than a (left-hand limit, written a^-). The two-sided limit exists exactly when both one-sided limits exist and are equal.

\lim_{x\to a^+}f(x)

What the symbols mean

the function being examined
the independent variable approaching a
the point that x approaches

About this formula

  • FieldMathematics
  • TopicLimits
  • LevelHigh school
  • Also calledright-hand limit, left-hand limit, limit from the right, limit from the left, limit approaching from above, limit approaching from below
  • SourceWikidata Q2633817

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