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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
14 Dec 2021

Given information

Assume , if    is any rational number and , if   is any irrational number.

Step-by-step explanation

Step 1.
Proof:
 
  is bounded on
 
 Let us take a partition   of   defined by   where  
 
Let,  
 
 
Then  
 
Now
 
 

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