Define g : R →R x sin (1/x), g(x) = 10, x # 0 x = 0. Explain why g is continuous at 0; in particular, explain the key estimation that's required in proving this fact.
Define g : R →R x sin (1/x), g(x) = 10, x # 0 x = 0. Explain why g is continuous at 0; in particular, explain the key estimation that's required in proving this fact.
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:Define g : R –→ R
x sin (1/x),
g(x) :
10,
x + 0
x = 0.
Explain why g is continuous at 0; in particular, explain the key estimation that's required in proving
this fact.
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