MATH 2103 Lecture 2: Business Calc Notes 2: Rvw Radicals and Limits

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8 Feb 2017
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[] means the closed circle on a line, or greater than/lesser than equal to (cid:894)(cid:895) (cid:373)ea(cid:374)s the ope(cid:374) (cid:272)ir(cid:272)le o(cid:374) a li(cid:374)e (cid:373)ea(cid:374)i(cid:374)g it"s (cid:374)ot a(cid:272)tuall(cid:455) i(cid:374)(cid:272)luded i(cid:374) the fu(cid:374)(cid:272)tio(cid:374), (cid:271)ut the li(cid:374)e may pass through it. The answer will always be a y value (cid:3051) (cid:2872)(cid:3051) (cid:2870) (cid:454) 2 (cid:271)e(cid:272)ause if (cid:455)ou i(cid:374)sert 2 i(cid:374)to the de(cid:374)o(cid:373)i(cid:374)ator, (cid:455)ou"ll get zero a(cid:374)d sa(cid:373)e for the numerator. If a line goes straight through all the points, the domain and range = (- , (cid:895) this (cid:373)ea(cid:374)s all real numbers. Numbers like 2 in the example above that equal all zeros, are holes. In asymptotes, the limit is the point where both lines approach but do not touch. Limits may not exist: (section 1. 2 in textbook) Values must equal or the function is not continuous. Slope of a line between points (avg rate of change and slope are the same)

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