it is an exercise to show that f is continuous at a if and only if f(a) = inf{f(x): xel, a
it is an exercise to show that f is continuous at a if and only if f(a) = inf{f(x): xel, a
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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Transcribed Image Text:It is an exercise to show that fis continuous at a if and only if
f(a) = inf{f(x): xel, a<x}
or if and only if f(a) = lim f. Similar conditions apply at a right endpoint, and for
decreasing functions.
x→a+
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