Limits & Continuity · Definitions
Right-Hand Limit
The limit of f(x) as x approaches a from the right (from values greater than a). A two-sided limit exists if and only if both one-sided limits exist and are equal.
Conditions. f(x) must be defined on an open interval (a, d) for some d > a.
- 0 variables
- 2 worked examples
- 18 in Limits & Continuity
Worked examples
Find lim(x→0⁺) |x|/x.
- For x > 0, |x| = x
- So |x|/x = x/x = 1
Answer: lim(x→0⁺) |x|/x = 1
1 more worked examplePremium
Find lim(x→0⁺) √x.
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Practice
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