5. Define f(x) = √x+1 ifz< 2 if => Use the the e-6 criterion for continuity at a point to show that f: R → R is not continuous at z = }.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 48E
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5. Define
fr+1 ifr≤
if r > ³
2
f(x)=
€
Use the the e-ó criterion for continuity at a point to show that f: R→ R is not
continuous at x = 1.
Transcribed Image Text:5. Define fr+1 ifr≤ if r > ³ 2 f(x)= € Use the the e-ó criterion for continuity at a point to show that f: R→ R is not continuous at x = 1.
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