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Evaluate the limit $\lim_{x\to\infty }\left(\frac{5x^4-9x^5+2x^2-1}{x^3+2x^2-x-3}\right)$ by replacing all occurrences of $x$ by $\infty $
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$\frac{5\cdot \infty ^4-9\cdot \infty ^5+2\cdot \infty ^2-1}{\infty ^3+2\cdot \infty ^2- \infty -3}$
Learn how to solve problems step by step online. Find the limit of (5x^4-9x^52x^2+-1)/(x^3+2x^2-x+-3) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\frac{5x^4-9x^5+2x^2-1}{x^3+2x^2-x-3}\right) by replacing all occurrences of x by \infty . Infinity to the power of any positive number is equal to infinity, so \infty ^5=\infty. Infinity to the power of any positive number is equal to infinity, so \infty ^2=\infty. Infinity to the power of any positive number is equal to infinity, so \infty ^2=\infty.