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LetTbe the function defined by lettingT(x) be the decimal expansion ofxtruncated to five decimal places. So, for example: T(1/2)=0.5 T(1/2)=0.5 T()=3.14159 T()=3.14159 T(1/3)=0.33333 T(1/3)=0.33333 T(1)=1

LetTbe the function defined by lettingT(x) be the decimal expansion ofxtruncated to five decimal places. So, for example:

  • T(1/2)=0.5
  • T(1/2)=0.5
  • T()=3.14159
  • T()=3.14159
  • T(1/3)=0.33333
  • T(1/3)=0.33333
  • T(1)=1

Let=1/1000. Find >0such that|T(x)T(0)|

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