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Algebra of Limits

Solve: limx...

Question

Solve: $lim x \to - 5 \frac{2 x^{2} + 9 x - 5}{x + 5}$

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Solution

$lim x \to - 5 \frac{2 x^{2} + 10 x - x - 5}{x + 5} = \frac{2 x (x + 5) - (x + 5)}{x + 5} = lim x \to - 5 2 x - 1 = - 11$

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