Solve the proof using the definition on page 83 DEFINITION Suppose ECR and f: E→ R. If xo E E, then f is continuousat xo iff for each e > 0, there is a 8 >0 such that ifxxo < 8, XE E,then|f(x) = f(xo)| < €.If f is continuous at x for every x E E, then we say f is continuous. nition (p. 34).2. Prove that the function f(x) = x³ is continuous at 2 directly using thedefinition (p. 83).

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Answered: Prove that the function f(x) = x³ is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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Prove that the function f(x) = x³ is continuous at 2 directly using the definition (p. 83).