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Math 211 Business Calculus Applications of Derivatives

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– p. 7/34<br />

Computing Limits<br />

When finding the limit asx → ∞ <strong>of</strong> fractions <strong>of</strong><br />

polynomials, the rule is<br />

Multiply the fraction by 1/xm<br />

1/xm, where<br />

m is the degree <strong>of</strong> the polynomial in the denominator.<br />

and use the fact that for any positive integer k,<br />

lim<br />

x→∞<br />

1<br />

x k = 0<br />

The same idea applies when computing limits where<br />

x → −∞.

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