Suppose the function ƒ has the property that IS(x) – S()| < |x -|| for each pair of points x, t in the interval (a, b). Prove that f is continuous on (a, b).
Suppose the function ƒ has the property that IS(x) – S()| < |x -|| for each pair of points x, t in the interval (a, b). Prove that f is continuous on (a, 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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Transcribed Image Text:Suppose the function f has the property that
IS(x) – SO) < |x - |
for each pair of points x, t in the interval (a, b). Prove that f
is continuous on (a, b).
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