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From the 8, e definition of Continuity, prove that the following function is con- tinuous at the indicated point: f (x) = x2; x = 0 and x = 3. %3D

From the 8, e definition of Continuity, prove that the following function is con- tinuous at the indicated point: f (x) = x2; x = 0 and x = 3. %3D

Advanced Engineering Mathematics
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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Class: Mathematical Analysis/Real Analysis; C1C

From the \( \delta, \epsilon \) definition of Continuity, prove that the following function is continuous at the indicated point: \[ f(x) = x^2; \, x = 0 \, \text{and} \, x = 3. \] Hint: Prove continuity at each point separately.
Transcribed Image Text:From the \( \delta, \epsilon \) definition of Continuity, prove that the following function is continuous at the indicated point: \[ f(x) = x^2; \, x = 0 \, \text{and} \, x = 3. \] Hint: Prove continuity at each point separately.
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Here we use definition of continuity.

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