Using the definition of continuity (Definition 5.13), prove the following function is not continuous at 0. S\x\ x=0 1 x = 0 f(x): =

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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Prove the following function is not continuous at 0 using the epsilon-delta definition of continuity: 

 

 
(c) Using the definition of continuity (Definition 5.13), prove the following function is not continuous at 0.
f(x) = {1+
{1x²) x +0
X = 0
Transcribed Image Text:(c) Using the definition of continuity (Definition 5.13), prove the following function is not continuous at 0. f(x) = {1+ {1x²) x +0 X = 0
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