CalcNotes0202-page6 - (Section 2.2: Properties of Limits...

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(Section 2.2: Properties of Limits and Algebraic Functions) 2.2.6 PART B: LIMITS OF ALGEBRAIC FUNCTIONS We will now extend our Limit Theorems for Rational Functions to algebraic functions. Remember that: • all constant functions are also polynomial functions, • all polynomial functions are also rational functions, and • all rational functions are also algebraic functions. A Limit Theorem for Algebraic Functions If: f is an algebraic function; its domain, Dom f () , is its implied domain; a is a real constant in Dom f ; and no radicand of any even root approaches 0 in the limit , then: lim x ± a fx = fa . That is, to compute the limit, substitute (“plug in”)
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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