MATH 1071Q Study Guide - Quiz Guide: Asymptote

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Practice problems: the graph of y = f (x) is below. Use it to compute each limit or explain why it doesn"t exist. y. 1 (a) lim x 0 f (x) (b) lim x 1 f (x) (c) lim x 2 f (x) (d) lim x 0+ f (x) (e) lim x 1+ f (x) (f) lim x 2+ f (x) 3 (g) lim x 0 f (x) (h) lim x 1 f (x) (i) lim x 2 f (x) (j) f (0) (k) f (1) (l) f (2: estimate lim x 0+ ln(x) x using a calculator. Show your work and explain your reasoning: where does the function f (x) = soning algebraically. x 3 x + 1 have a vertical asymptote. Explain your rea: let lim x 7 f (x) = 2, lim x 7 g(x) = 3, lim x 7 h(x) = 4. +ph(x) + 3x + 4(cid:19): evaluate the following limit using algebraic techniques.