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Calculating Limits flashcards
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- What does “Limit Laws for Sums” mean?Limit Laws
- Combining existing finite limits through addition and constant multiplication.
- What important condition applies to limit laws for sums?Limit Laws
- Existence assumptions matter; a nonexistent component limit cannot be substituted blindly.
- What does “Limit Laws for Quotients” mean?Limit Laws
- Evaluating a quotient limit when the limiting denominator is nonzero.
- What important condition applies to limit laws for quotients?Limit Laws
- Do not apply the quotient law with a zero denominator limit.
- What does “Left-Hand Limits” mean?One-Sided Limits
- The output approached from inputs smaller than the target.
- What important condition applies to left-hand limits?One-Sided Limits
- Approach direction chooses the neighboring rule.
- What does “Right-Hand Limits” mean?One-Sided Limits
- The output approached from inputs larger than the target.
- What important condition applies to right-hand limits?One-Sided Limits
- A right-hand limit alone does not establish a two-sided limit.
- What does “Limits at Infinity” mean?Infinite Limits and Asymptotes
- The limiting output trend as input magnitude grows without bound.
- What important condition applies to limits at infinity?Infinite Limits and Asymptotes
- A horizontal asymptote describes end behavior and may be crossed.
- What does “Vertical Asymptotes” mean?Infinite Limits and Asymptotes
- An input line approached while function values grow unbounded on at least one side.
- What important condition applies to vertical asymptotes?Infinite Limits and Asymptotes
- Not every zero denominator produces a vertical asymptote.