Show that limx - 3x3 - 8x2 - 452x2 - 3x - 9 - -73

Let L=lim _ x→ 3 x ^ 3 8 x ^ 2 +45 2 x ^ 2 3x 9 #160; This is 00 form. #160;Therefore, by using L'Hospital rule L=lim _ x→ 3 3x ^ 2 16 ...

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Rationalization Method to Remove Indeterminate Form

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Question

Show that ${lim}_{x \to 3} \frac{x^{3} - 8 x^{2} + 45}{2 x^{2} - 3 x - 9} = \frac{- 7}{3}$

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lim x \to 3 \frac{x^{3} - 8 x^{2} + 45}{2 x^{2} - 3 x - 9}

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$3 x^{3} + 2 x^{2} + 3 x + 2$ =?

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