What Is X Down & Up Arrows a (Limit from Left/Right)?

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SUMMARY

The discussion clarifies the notation of the X downward and upward arrows in relation to one-sided limits in calculus. Specifically, the upward arrow indicates the limit from the left, while the downward arrow signifies the limit from the right. This notation, although not widely used, is referenced in the Wikipedia article on one-sided limits. Understanding this distinction is crucial for accurately interpreting mathematical expressions involving limits.

PREREQUISITES
  • Basic knowledge of calculus concepts, particularly limits.
  • Familiarity with one-sided limits in mathematical notation.
  • Understanding of the significance of increasing and decreasing functions.
  • Access to mathematical resources, such as Wikipedia articles on limits.
NEXT STEPS
  • Research the formal definition of one-sided limits in calculus.
  • Study the implications of limit notation in mathematical analysis.
  • Explore examples of one-sided limits in various mathematical contexts.
  • Review additional resources on limit notation and its applications in calculus.
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Students of calculus, mathematics educators, and anyone seeking to deepen their understanding of limit notation and its implications in mathematical analysis.

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X downward arrow a (is it limit from left)
X upward arrow a (is it limit from right)
?
 

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woundedtiger4 said:
X downward arrow a (is it limit from left)
X upward arrow a (is it limit from right)
?

It's the other way around. Up arrow means increasing value of ##x##, so limit from the left. It's not a common notation, but it is mentioned on wikipedia: http://en.wikipedia.org/wiki/One-sided_limit
 
fzero said:
It's the other way around. Up arrow means increasing value of ##x##, so limit from the left. It's not a common notation, but it is mentioned on wikipedia: http://en.wikipedia.org/wiki/One-sided_limit

Thanks
 

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