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Taylor’s Formula and Limits
Pset 10
Due November 18 (12 points total)
(1) Page 303: 4, 15
(2) Page 391:12, 18
(3) Page 392:23
Bonus: A function f is called uniformly continuous if for every � > 0 there exists
δ > 0 such that for all x, y with |x − y| < δ, we have |f (x) − f (y)| < �. Prove that
every continuous function on a closed interval [a, b] is uniformly continuous.
1
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18.014 Calculus with Theory
Fall 2010
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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Mechanical Engineering
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Mechanical Engineering
Massachusetts Institute of Technology
Massachusetts Institute of Technology
Brams and Taylor (1996)
Brams and Taylor (1996)
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