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c. Show that f(x) is NOT uniformly continuous on [0, +∞).

c. Show that f(x) is NOT uniformly continuous on [0, +∞).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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How do you solve c? I will upvote answer, thank you!

Let f(x) = x sin x. a. Compute f'(x). b. Show that for every M > 0 and every k > 1, there is xo > M such that f' (æ) > k, Væ E [x0, x0 + 1/k]. c. Show that f(x) is NOT uniformly continuous on [0, +∞).
Transcribed Image Text:Let f(x) = x sin x. a. Compute f'(x). b. Show that for every M > 0 and every k > 1, there is xo > M such that f' (æ) > k, Væ E [x0, x0 + 1/k]. c. Show that f(x) is NOT uniformly continuous on [0, +∞).
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