Problem 7.1. Use the ε- definition of continuity to prove that each of the following function is continuous on its domain. (a) f: R→ R, f(x) = |x| (b) f: (0,00)→→R, f(x)=√x

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.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
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Problem 7.1. Use the e-8 definition of continuity to prove that each of the following function is continuous
on its domain.
(a) f: R→ R, f(x) = |x|
(b) f: (0,00)→→R, f(x)=√x
Transcribed Image Text:Problem 7.1. Use the e-8 definition of continuity to prove that each of the following function is continuous on its domain. (a) f: R→ R, f(x) = |x| (b) f: (0,00)→→R, f(x)=√x
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