MathAnalysisCalculusLimits

Limits of sequences

Theory

The largest limit

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Calculate limits of the following two sequences (nn approaches infinity) and write the largest one:

xn=(n2+9n+14)(2−7n)(n2−4)(n+7)x_n=\dfrac{(n^2+9n+14)(2-7n)}{(n^2-4)(n+7)}

yn=(9n2−4)(2−3n)27n3−54n2+36n−8y_n=\dfrac{(9n^2-4)(2-3n)}{27n^3-54n^2+36n-8}

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