Final answer to the problem
$-40$
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1
Factor $3x^3+5x^2-4x-6$ by the greatest common divisor $3$
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$\lim_{x\to-1}\left(\frac{3\left(x^3-2\right)+5x^2-4x}{\sqrt{x+17}-4}\right)$
Learn how to solve problems step by step online. Find the limit of (3x^3+5x^2-4x+-6)/((x+17)^(1/2)-4) as x approaches -1. Factor 3x^3+5x^2-4x-6 by the greatest common divisor 3. Applying rationalisation. Multiplying fractions \frac{3\left(x^3-2\right)+5x^2-4x}{\sqrt{x+17}-4} \times \frac{\sqrt{x+17}+4}{\sqrt{x+17}+4}. Solve the product of difference of squares \left(\sqrt{x+17}-4\right)\left(\sqrt{x+17}+4\right).
Final answer to the problem
$-40$
