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  • Confused! kindly explain, - Limit , continuity and differentiability - JEE Main-6

\lim_{x\rightarrow 0}\frac{x^{2}+x+1}{2x^{2}+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 numerator and denominator are same , so ratio of leading coeff of numerator to denominator will be required limit   

 

 

 

 


Option 1)

1/2

Option 2)

1

Option 3)

3/2

Option 4)

2

Posted by

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