(Section 2.3: Limits and Infinity I) 2.3.15 Warning 2: x8is the leading term because it is the term of higher degree, not because it is written first. In the long run, its impact renders the other term, ±x6, negligible by comparison. x8acts like a bully. It “explodes more dramatically” ±x6than does. Informal “Short Cut” Solution limx±²x8³x6()=limxx8=²A More Rigorous Solution: The Factoring Principle of Dominance We can factor out the dominant term, x8(notthe GCF), and we can apply the “Long-Run” Limit Rules for
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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.