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  • Solve this problem - Limit , continuity and differentiability - JEE Main-7

f(x)=[x^{2}](where [.]= GI..F)  has

  • Option 1)

    Some behaviour about x=1

  • Option 2)

    Some behaviour about x=0

  • Option 3)

    Some behaviour about x=2

  • Option 4)

    Some behaviour about x=3

 

Answers (1)

best_answer

 

Condition of Geometrical limit -

Limits describe the behaviour of a function near to a particular point not necessarily at the point itself. 

-

 

 In neighbourhood of x=1  , x=2 and x=3.   [x^{2}] has diffrent LHL and RHL , But in neighbourhood of x= 0, [x^{2}] has same LHL and RHL  

For x= 1   LHL =0 , RHL =1 

For x=2    LHL =3 , RHL =4  

For x=3    LHL =8 , RHL =9 

For x=4    LHL =0 , RHL =0 

\therefore Behaviour is same about x=0

 

 

 


Option 1)

Some behaviour about x=1

Option 2)

Some behaviour about x=0

Option 3)

Some behaviour about x=2

Option 4)

Some behaviour about x=3

Posted by

Himanshu

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