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f(x)= [x]  is continous at each point of which of the following intervals?

  • Option 1)

    (1,2)

  • Option 2)

    (1,3)

  • Option 3)

    (-1,1)

  • Option 4)

    (1/2,3/2)

 

Answers (1)

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As we have learned

Continuity in an open interval -

F(x) is said to be continuous in an open interval  (a, b) or a < x < b.If it is continuous at each and every point of the interval belonging to its domain.

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f(x)=[x] will be discontinous at integers . In (B) ,(C), (D) there are integers , lieing int the interval si in (B), (C)and (D), f(x) will be continous at each point . But in (A) it is    

 

 

 

 

 


Option 1)

(1,2)

Option 2)

(1,3)

Option 3)

(-1,1)

Option 4)

(1/2,3/2)

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Himanshu

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