MATH 1941 Study Guide - Midterm Guide: Asymptote, Negative Number, Rational Number

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Using the slopes of multiple secant lines to approximate the slope of a tangent line. Practice problems: 4, 7, 8, 17, 31, 32, 33. 2. 3: calculating limits using the limit laws (x)) Lim x b (g(x)) lim x b lim x b. Division law lim x b lim x b (k lim x b. = lim x b (f(x))/ (g(x)) lim x b ((f(x))n = ( lim x b. Root law x b n f(x) = n lim (f(x))) n lim x b (f(x)) lim x b. = f (x) (c) f c is in the domain of f (c d ) f. = g (x) at each point of some open interval containing c, except possibly at c itself, then f (x) lim x c. If f(x) g(x) h(x) where x is near a (except possibly at a) and the limits of f and g both exist as x approaches a then lim x a then lim x a.

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