Limits & Continuity · Definitions

Left-Hand Limit

limxaf(x)=L\lim_{x \to a^-} f(x) = L

The limit of f(x) as x approaches a from the left (from values less than a).

Conditions. f(x) must be defined on an open interval (c, a) for some c < a.
  • 0 variables
  • 2 worked examples
  • 18 in Limits & Continuity

Worked examples

Find lim(x→0⁻) |x|/x.
  1. For x < 0, |x| = -x
  2. So |x|/x = -x/x = -1

Answer: lim(x→0⁻) |x|/x = -1

1 more worked examplePremium

Find lim(x→2⁻) floor(x).

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Practice

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