Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Limits
When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…
Question

GIve a function that meets the requirements of b and PROVE why it works 

(a) A function f : R → R that is continuous only at x = 0 and r = 1. (b) A bounded, 3B > 0 such that |f(x)| < B Vx e (0, 1), continuous function on (0, 1) with unbounded derivative on (0, 1).
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Transcribed Image Text:(a) A function f : R → R that is continuous only at x = 0 and r = 1. (b) A bounded, 3B > 0 such that |f(x)| < B Vx e (0, 1), continuous function on (0, 1) with unbounded derivative on (0, 1).
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