MATH 231 Lecture Notes - Lecture 3: Asymptote

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27 May 2020
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Def suppose that f is defined for all. 0c hear a if fcod goes arbitrarily positive largefor all near butnot equal a we get s mafo. Def iii is defined for all se near a with a 9 suppose f. If fed goes arbitarity positive largefor all near but notequal a auth as a se. Find aliens scots withoutgraphing when se ot s sets. 3 ie a7da s so3z c 35 z se se s 13. 33 is undefined if so 1 3 diss to co se l is a hole i. Find lim f ca se si att tx lim gt3 se a pet. Teitholeswhen thefaetorer a fado e a can be cancelled. Eg73eslimfcxo lhagyismgf. de ydufge. se p n so x sucks. Def it fix becomes arbitarity closed to a finite numberl for all sufficient positive large c we write him fix so y. Sufficiently neglargesc y m is a horizontal asymptote.

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