The process by which we determine limits of rational functions applies equally well to ratios containing nonintegrer or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits limx→−∞x2+1x+1

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The process by which we determine limits of rational functions applies equally well to ratios containing nonintegrer or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits  limx→−∞x2+1x+1

delilnaT · Accepted Answer

To evaluate: limx→∞x2+1x+1  Solution:  limx→∞x2+1x+1  On simplifying further we get:  limx→∞x2+1x+1=limx→∞x2(1+1x2)x(1+1x)  =limx→∞|x|(1+1x2)x(1+1x)  =limx→∞x(1+1x2)x(1+1x)  =1+01+0  =11  =1  ⇒limx→∞x2+1x+1=1  Result:  limx→∞x2+1x+1=1

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

The process by which we determine limits of rational functions applies equally w

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