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Limits

7 practice questionsCalculus IStep-by-step solutions

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1

Evaluate limx2x3+8x2+x2\lim_{x \to -2} \frac{x^3 + 8}{x^2 + x - 2}.

A.0
B.43-\frac{4}{3}
C.4
D.-4
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2

Evaluate limx(4x2+3x2x)\displaystyle \lim_{x \to \infty} \left( \sqrt{4x^2 + 3x} - 2x \right).

A.0
B.3
C.34\frac{3}{4}
D.32\frac{3}{2}
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3

Evaluate limh01+h311+h41\lim_{h \to 0} \frac{\sqrt[3]{1+h} - 1}{\sqrt[4]{1+h} - 1}.

A.43\frac{4}{3}
B.00
C.11
D.34\frac{3}{4}
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