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2.9: Homework- Algebraic Limits
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Factor the following polynomials.
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\(x^2 x + 6\)
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\(x^2 + 2x - 63\)
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\(x^2 - 4xh + 4h^2\)
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If you’re doing a limit with a continuous function, like \(\lim_{x \to 3} 7x - 1\), how can you quickly solve this limit problem?
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Compute the following limits algebraically.
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\(\lim_{x \to 5} 2x^2 - 7x\)
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\(\lim_{x \to 2} \frac{(x-5)(x-2)}{x-2}\)
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\(\lim_{x \to 3} \frac{x^2 - 6x + 9}{x - 3}\)
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\(\lim_{x \to -4} \frac{x^2 + 3x - 4}{x+4}\)
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\(\lim_{x \to 2} \frac{x^3 - 6x^2 + 8x}{x-2}\)
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\(\lim_{x \to w} x^2 + 5xw - w^2\)
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\(\lim_{x \to h} \frac{x^2 - h^2}{x-h}\)