CalcNotes0203-page20

CalcNotes0203-page20 - (Section 2.3: Limits and Infinity I)...

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(Section 2.3: Limits and Infinity I) 2.3.20 Example 15 Evaluate lim x ±² fx () and lim x ±²³ , where = ± 5 + 3 x 2 + 6 x 3 1 + 3 x 2 . Solution 1 (A Rigorous Solution) : Left to the reader! Refer to Example 13. Solution 2 (The “Short Cut”: Dominant Term Substitution) The numerator, ± 5 + 3 x 2 + 6 x 3 , has a degree (i.e., 3) that is greater than the degree (i.e., 2) of the denominator, 1 + 3 x 2 . (The fraction is “top heavy.”) We know from this alone that the graph
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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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