Maths-
General
Easy

Question

A function f on R intto itself is continuous at a point 0 iin R, iif for each element of greater than 0, there exists, delta greater than 0 such that

  1. vertical line f left parenthesis x right parenthesis minus f left parenthesis 0 right parenthesis vertical line less than element of rightwards double arrow vertical line x minus 0 vertical line less than delta    
  2. vertical line f left parenthesis x right parenthesis minus f left parenthesis 0 right parenthesis vertical line greater than element of rightwards double arrow vertical line x minus 0 vertical line greater than delta    
  3. vertical line x minus 0 vertical line greater than delta rightwards double arrow vertical line f left parenthesis x right parenthesis minus f left parenthesis 0 right parenthesis vertical line greater than element of    
  4. vertical line x minus 0 vertical line less than delta rightwards double arrow vertical line f left parenthesis x right parenthesis minus f left parenthesis 0 right parenthesis vertical line less than element of    

The correct answer is: vertical line f left parenthesis x right parenthesis minus f left parenthesis 0 right parenthesis vertical line less than element of rightwards double arrow vertical line x minus 0 vertical line less than delta


    It is obvious that the correct answer is option (A) .

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