Concept explainers
Precise definitions for left- and right-sided limits Use the following definitions.
Assume f exists for all x near a with x > a. We say the limit of f(x) as x approaches a from the right of a is L and write
Assume f exists for all x near a with x < a. We say the limit of f(x) as x approaches a from the left of a is L and write
42. Determining values of δ from a graph The function f in the figure satisfies
- a. |f(x) − 0| < 2 whenever 0 < x − 2 < δ
- b. |f(x) − 0| < 1 whenever 0 < x − 2 < δ
- c. |f(x) − 1| < 2 whenever 0 < 2 − x < δ
- d. |f(x) − 1| < 1 whenever 0 < 2 − x < δ
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Check out a sample textbook solutionChapter 2 Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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