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Evaluate the limit $\lim_{x\to3}\left(\frac{x^3-5x+x^2-21}{x^4-2x^3+16x^2-8}\right)$ by replacing all occurrences of $x$ by $3$
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$\frac{3^3-5\cdot 3+3^2-21}{3^4-2\cdot 3^3+16\cdot 3^2-8}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(3)lim((x^3-5xx^2+-21)/(x^4-2x^316x^2+-8)). Evaluate the limit \lim_{x\to3}\left(\frac{x^3-5x+x^2-21}{x^4-2x^3+16x^2-8}\right) by replacing all occurrences of x by 3. Multiply -5 times 3. Subtract the values -15 and -21. Calculate the power 3^4.