MATH 140 Lecture Notes - Lecture 3: Asymptote, Cartesian Coordinate System, Trigonometric Functions

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Vi. x a f (x) lim x a f (x) lim x a+ f (x) lim (x) x a+ f lim f (x) lim x a (x) f lim x a. Note: the line x = a is called a vertical asymptote of the curve y = f (x) if at least one of the statements above is true. 2 3 = 1 a positive infinity. 2 lim x 3 x(x 3) (x 3)(x 3) lim x 3 (x 3) x. 0 sin cos an x t ec x s ot x c sc x c cos x. 5. lim x a lim x a lim x a lim x a lim x a. , if x a g(x) lim x a f(x) g(x) = lim x a (x) (x) Lim x a (x) g (x) g (x) g. Lim x a f(x) = 0 lim x a f (x) and lim x a (x g.

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