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if x0, and = x Let f RR be the function defined by f(x) = f(0) = = a. Is there a choice of a so that f is continuous at 0? If so, what is it? If not, prove that there is not.

if x0, and = x Let f RR be the function defined by f(x) = f(0) = = a. Is there a choice of a so that f is continuous at 0? If so, what is it? If not, prove that there is not.

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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x Let ƒ : R → R be the function defined by f(x) = if x # 0, and f(0) = a. Is there a choice of a so that f is continuous at 0? If so, what is it? If not, prove that there is not.
Transcribed Image Text:x Let ƒ : R → R be the function defined by f(x) = if x # 0, and f(0) = a. Is there a choice of a so that f is continuous at 0? If so, what is it? If not, prove that there is not.
Expert Solution
Step 1

Given function is

f(x) = xx  ,  x ≠ 0a       ,  x = 0

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