{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Ex 2_4 - 94 Chapter L imits nd C ontinuity 2 a TXAMPLE 4 1...

This preview shows pages 1–2. Sign up to view the full content.

94 Chapter 2: Limits and Continuity FIGURE 2.41 The iuncrion in Exanple i4has an oblique asybptotc. EXERCISES 2.4 g. lim- /(r) = I i. Iib /(r) = 0 k. lin f(') does nol exisl. Which of tle tbllo\$lng statemenrs aboul the function | : l(r) Craphed here de true. and which arefalsc? TXAMPLE 14 Find the oblique asymprote for lhegraph of J\r): soLltion By long division, uc find ]:t+4 /2 s\ 15 \/ 49/ 4o(7l + 4) ;;;; -;t*. As -r + ao., the remainder, whose magnitude gives the \,erlicat distance between l}x graphs of/ andg,goes to zcro, naking the(slanted) li.e ,, 2 8 8''r,_ ^' 19 an as'rnptote ofthe gmph of/ (Figure 2.4t). Thc line _f = a(j) is an asymptote borh ..: the righl and to th€ ]eft. In the nexr section you will se€ thar the funciion l(r) gros. arbitarily large in absolute value as j approaches 4/7, whcre thedenominator bccom.: zero (Figure 2.41). l. Which ol lhe following sratements aboul lhe tuction I : /Lrl gra|hed here aretrue. ed ehich are false? I lrn- l0) dcs nol *rt lim /(rl = 2 lr'l /G) does no1q6r. k. lim l(r) does not cxist. c. lim /(r) : 2 li.. l(r) = 0 t g. lin /(r): lim /frl ]". "' *''".'.'.' In rhe, ocn In,e^dr, r. I lin /G) disls at wcry. h the open inrerval0,l). d. lrm lh) = lim /(rl i lim /(r) = 2 l. liq lG) = 0 = {i. ,: 2, Find lim.,, lG) md tihj-r /(r). Does lin -: l(-r) exist:)Ifso, *hal is it? Ifrot. xbr not.l Fiid Iin -a l(')ddlim.-a l(r).

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

Ex 2_4 - 94 Chapter L imits nd C ontinuity 2 a TXAMPLE 4 1...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online