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