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  • How to solve this problem- - Limit , continuity and differentiability - JEE Main-6

If    \lim_{x\rightarrow 2}\frac{x^{3}-8}{x-2}= l  then l equals to

  • Option 1)

    3

  • Option 2)

    6

  • Option 3)

    9

  • Option 4)

    12

 

Answers (1)

best_answer

As we have learned

Limit C definition -

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

The  number  l is referred to as the limit of f(x) as  x tends to  a

-

 

\lim_{x\rightarrow 2} \frac{x^{3}-8}{x-2}= \lim_{x\rightarrow 2} \frac{(x-2)(x^{2}+2x+4)}{x-2}

\lim_{x\rightarrow 2} (x^{2}+2x+4) 

 

 

 

 

 


Option 1)

3

Option 2)

6

Option 3)

9

Option 4)

12

Posted by

Himanshu

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