Let I = (a, 6) be a bounded open interval and f :I→ R be a monotone increasing function on I. sup f(x). x€(a,b) (i) If f is bounded above on I, then lim f(x) %3D x b- (ii) If f is bounded below on I, lim f(x) = x a.+ inf f(x). xE(a,b) then (iii) If f is unbounded above on I, then lirn f(x) = I b--
Let I = (a, 6) be a bounded open interval and f :I→ R be a monotone increasing function on I. sup f(x). x€(a,b) (i) If f is bounded above on I, then lim f(x) %3D x b- (ii) If f is bounded below on I, lim f(x) = x a.+ inf f(x). xE(a,b) then (iii) If f is unbounded above on I, then lirn f(x) = I b--
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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