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

  • Option 1)

    -1/2

  • Option 2)

    1

  • Option 3)

    0

  • Option 4)

    \infty

 

Answers (1)
H Himanshu

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 is greator than denominator 

 

 

 

 


Option 1)

-1/2

Option 2)

1

Option 3)

0

Option 4)

\infty

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