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  • Need clarity, kindly explain! - Limit , continuity and differentiability - JEE Main-3

If x gets closer to 3, then limit of f(x)= x^{2}-3 will be

  • Option 1)

    3

  • Option 2)

    4

  • Option 3)

    5

  • Option 4)

    6

 

Answers (1)

best_answer

As we have learned

Condition on Limits -

If  f(x)  get closes and closer to a number  L as  x  gets closer and closer to 'c'  from either side the  L  is the limit of  f(x) as  x  approaches 'c'.

\lim_{x\rightarrow c}f(x)=L

- wherein

Where  x  approaches  c 

 

As x gets closer to 3 , then x^{2} will get closer to 9 from both sides , so x^{2}-3 will get closer to 6 from both sides , so limit will be 6 

 

 

 

 


Option 1)

3

Option 2)

4

Option 3)

5

Option 4)

6

Posted by

Himanshu

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