tan(x) and sin(1/x) and xsin(1/x)

by 이슬비 posted Jan 03, 2023
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tansin.png

 

tan(x) [0,pi/2)

sin(1/x) (0,1]

 

 

 

A continuous function fails to be absolutely continuous if it fails to be uniformly continuous,

which can happen if the domain of the function is not compact

 

 

xsin1x.png

 

xsin(1/x)

 

uniformly continuous but not absolutely continuous

 


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