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In(x) f(x) = χ (1, 0) x-1 f(x) = In (x) (x-1)2' х (1, 00)

In(x) f(x) = χ (1, 0) x-1 f(x) = In (x) (x-1)2' х (1, 00)

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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2) A function f is uniformly continuous on the interval l if for all e > 0 we can find an 8 > 0 (depending only on e) such that if x1, x2 EI and lx1 – x2| < 8, so is \f(x1) – f(x2)| < e. Determine whether the following functions are uniformly continuous on the specified Intervals. In(x) a) f(x) : х (1,00) x-1 In (x) b) f(x) : хе (1, 00) (x-1)a
Transcribed Image Text:2) A function f is uniformly continuous on the interval l if for all e > 0 we can find an 8 > 0 (depending only on e) such that if x1, x2 EI and lx1 – x2| < 8, so is \f(x1) – f(x2)| < e. Determine whether the following functions are uniformly continuous on the specified Intervals. In(x) a) f(x) : х (1,00) x-1 In (x) b) f(x) : хе (1, 00) (x-1)a
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