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  • Help me please, - Limit , continuity and differentiability - JEE Main-6

\lim_{x\rightarrow \infty } \frac{-x^{2}+3}{x^{3}-x+1} equals 

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Answers (1)

best_answer

As we have learned

Method of evaluating algebraic limits as x to infinity -

L=\frac{a_{\circ }}{b_{\circ }}\lim_{x\rightarrow \infty }x^{m-n}=      {0\:\:\:\:\:m<n}

                                                {\frac{a_{\circ }}{b_{\circ }}\:\:\:\:\:m=n}

                                                {\infty\:\:\:\:\:m>n}

- wherein

NOTE: for finite solution  Nr  &   Dr   degree must be same (SD : m = n )

 

 \because degree of denominator is more than that of numerator so limit will be zero 

 

 

 

 

 


Option 1)

-1

Option 2)

0

Option 3)

1

Option 4)

2

Posted by

Himanshu

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