(Section 2.2: Properties of Limits and Algebraic Functions) 2.2.6 PART B: LIMITS OF ALGEBRAIC FUNCTIONSWe 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 FunctionsIf: fis an algebraic function; its domain, Domf(), is its implied domain; ais a real constant in Domf; and no radicand of any even root approaches 0 in the limit, then: limx±afx=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.