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Calculus Chapter 2 Sec 2.2

# Calculus Chapter 2 Sec 2.2 - 0 then provided that is a real...

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Section 2.2 Jean-Baptiste Calculus Chapter 2.2 (Calculating Limits Using the Limit Law) THEOREM 1 Limit Laws If L, M, c and k are real numbers and and then 1. Sum Rule: The limit of the sum o two functions is the sum of their limits. 2. Difference Rule: The limit of the difference of two functions is the difference of their limits 3. Product Rule: The limit of a product of two functions is the product of their limits 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: If r and s are the integers with no common factor and s

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Unformatted text preview: 0, then provided that is a real number. (If s is even, we assume that L > 0.) The limit of a rational power a function is that power of the limit of the function, provided the latter is a real number 2 THEOREM 2 Limits of Polynomials Can Be Found by Substitution If P(x) = THEOREM 3 Limits of Rational Function Can be Found by Substitution If the Limit of the Denominator Is Not Zero If P(x) and Q(x) are polynomials and Q(c) 0, then THEOREM 4 The Sandwich Theorem Suppose that g (x) f (x) h(x) for all x in some open interval containing c, f(x)=L THEOREM 5 If f(x) g(x) for all x in some open interval containing c, except possibly at x = c itself, and the limits of f and g both exist as x approaches c ,...
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Calculus Chapter 2 Sec 2.2 - 0 then provided that is a real...

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