File0013 - 78 66 67 68 69 70 Chapter 2 Limits and...

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Unformatted text preview: 78 66. 67. 68. 69. 70. Chapter 2 Limits and Continuity The graph ofy = f(%) = wise-”x is shown. 1 11.1% f(x) = lim r0) : 0 lim rm: lim f(-) 00 ‘4“00 x—tU The graph ofy = f(%) : xlnl % | is shown. $131100 fix): xlim f“): 1.11% fix)=:1m}]- f(%)= 0 Lett= similarly. 11 jig” 1n I: = 0 (a) y —+ on (see accompanying graph) (b) y —1 00 (see accompanying graph) (c) cu5ps at x = :i: 1 (see accompanying graph} (3,) y —-> 0 and a cusp at x = 0 (see the accompanying graph) (b) )1 —~ g (see accompanying graph) (c) a vertical asymptote at x = 1 and contains the point (— 1. 337;) (see accompanying graph) 2.6 CONTINUITY . No, discontinuous at x = 2, not defined at x = ‘2 No. discontinuous at x = 3. l = 11 1—1595- g(x) as g(3) = [.5 Continuous on [—1, 3] No, d1scont1nuous atx =1,15= lin'i_ k(x) gé “Hi km: 3 fl (3.) Yes (13} Yes, {c} Yes (d) Yes x—i—li' l . cm _ . 1:1 _ . __ 11:} 1‘th In: ‘11_1,I%+1ni1n111_1.rfi+1—n1 1111 {£1131 1111 J.__ [-4. 4] by [-1. 3] ['SI 3] by [-21 2] =0(since lim e'=land lim lntz-oo); I-HT l—"D'i lim [(x) = ...
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