#1881 · Real Analysis · The real numbers

Limit at Infinity for Degree-3 over Degree-4 Rational Function

Find the limit of $\frac{( 3 - x ) ( x + 5 ) ( 2 - 7 x )}{( 7 x - 1 ) ( x + 1 ) ^{3}}$ as $x \to \infty$ .

~3 minAnswer checked instantlylimitsrational functions

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XX. Limiting Values and Vanishing Fractions, Examples XX, No. 6 (part 1)

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).