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Unformatted text preview: x a f x L Ex) Find lim → x 01x2 if the limit exists lim → -= ∞ x 0 1x2 lim → + = ∞ x 0 1x2 Definition: Let f be a function defined on both sides of a except possibly at a lim → =∞ x afx if the values of f(x) can be made arbitrarily large by taking x sufficiently close to a1 but not equal to a. Any combo of a+ and a- as well as ∞ and -∞. Definition: x=a is a vertical asymptote if one of the following happens. lim → -x a f(x)=∞ lim → -x a f(x)=-∞ lim → + x a f(x)=∞ lim → + x a f(x)=-∞ Ex) Find lim → + - =∞ x 3 2x x 3 and lim → --x 3 2xx 3 =-∞ Homework: 1, 2, 4,5,6, 13, 15, 25-31 odd...
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This note was uploaded on 06/23/2010 for the course MATH 9A taught by Professor Apoorva during the Spring '07 term at UC Riverside.
- Spring '07