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Unformatted text preview: 4. Constant Multiple Rule: The limit of a constant times a function is the constant times the limit of the function. 5. Quotient Rule: The limit of a quotient of two functions is the quotient of their limits, provided the limit of the denominator is not zero. 6. Power Rule: The limit of a rational power of a function is that power of the limit of the function, provided the limit power is a real number. 5 Example 5 lim x → c x 4 + x 21 x 2 +5 = lim x →2 √ 4 x 23 = THEOREM 2  Limits of Polynomials If P ( x ) = a n x n + a n1 x n1 + ... + a , then THEOREM 3  Limits of Rational Functions If P ( x ) and Q ( x ) are polynomials and Q ( c ) 6 = 0, then 6 Example lim x →7 (2 x + 5) Example lim x → 5 4 x7 Example 6 lim x →1 x 3 +4 x 23 x 2 +5 = 7...
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This note was uploaded on 03/31/2008 for the course MATH 1205 taught by Professor Fbhinkelmann during the Spring '08 term at Virginia Tech.
 Spring '08
 FBHinkelmann
 Calculus, Limits

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