Final Answer
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Multiply the single term $9$ by each term of the polynomial $\left(x^2+1\right)$
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$\lim_{x\to\infty }\left(\frac{5x^2-7x}{9x^2+9}\right)$
Learn how to solve limits to infinity problems step by step online. Find the limit of (5x^2-7x)/(9x^2+9) as x approaches infinity. Multiply the single term 9 by each term of the polynomial \left(x^2+1\right). As it's an indeterminate limit of type \frac{\infty}{\infty}, divide both numerator and denominator by the term of the denominator that tends more quickly to infinity (the term that, evaluated at a large value, approaches infinity faster). In this case, that term is . Separate the terms of both fractions. Simplify the fraction .