anonymous
  • anonymous
EVALUATE USING ALGEBRA LIM X^2 +2 / X -1 AS X GOES TO NEGATIVE INFINITY
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
The strategy for solving this is the same as the one I solved before, except the square root is gone and the limit boundary is negative infinity which will change the answer. \[\lim_{x \rightarrow -\infty}(x^{2}+2)/(x-1)\] (factor out x^2 in the numerator and x in denominator) \[\lim_{x \rightarrow -\infty}x^{2}(1+2/x^{2})/x(1-1/x) \] \[\lim_{x \rightarrow -\infty}x(1+2/x^{2})/(1-1/x)\] \[\lim_{x \rightarrow -\infty}x(1+0)/(1+0) \] \[\lim_{x \rightarrow -\infty}x=-\infty\] So the limit is \[-\infty\]

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