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  • Help me solve this - Limit , continuity and differentiability - JEE Main-5

Let f(x)= |x-1|  then f(x) is 

  • Option 1)

    continous and diffrentiable at x=1

  • Option 2)

    continous and non- diffrentiable at x=1

  • Option 3)

    neither continous nor diffrentiable at x=1

  • Option 4)

    not continous but  diffrentiable at x=1

 

Answers (1)

best_answer

As we have learned

Properties of differentiable functions -

Absolute functions are always continuous throughout but not differentiable at their critical point.

-

 

 We know absolute function are always continous but non - diffrentiable at critical points which is here x=1 

 

 

 

 

 


Option 1)

continous and diffrentiable at x=1

Option 2)

continous and non- diffrentiable at x=1

Option 3)

neither continous nor diffrentiable at x=1

Option 4)

not continous but  diffrentiable at x=1

Posted by

Himanshu

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