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### Worksheet1

Course: MAC 2233, Spring 2011
School: University of Florida
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Word Count: 344

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AME W N ORKSHEET 1 M AC 2233 1. E valuate the limits: JX - 3 x1=9 x -9 a. L etj(x) = { 5 ~~th~~ ~ (fi.~3 2 ( \$-r:S) x =9 ...L \ . .:--- lim f {x) = --.l@~'---- x--+9 lim f {x) = _ _.i&lt;!:.._ _ 5 x--+4 x- 1 x 2- 3x + 2 . 2. L etj{x) = F ind the following limits: 00 lim j {x) = _ __ __ x --+2+ a. lim j {x) = _ _ _ o:e&gt; _ _ x--+2lim j {x) = _ ___ _ lim j {x) = -1 x-+ 1 x--+2 D (\) G...

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AME W N ORKSHEET 1 M AC 2233 1. E valuate the limits: JX - 3 x1=9 x -9 a. L etj(x) = { 5 ~~th~~ ~ (fi.~3 2 ( \$-r:S) x =9 ...L \ . .:--- lim f {x) = --.l@~'---- x--+9 lim f {x) = _ _.i<!:.._ _ 5 x--+4 x- 1 x 2- 3x + 2 . 2. L etj{x) = F ind the following limits: 00 lim j {x) = _ __ __ x --+2+ a. lim j {x) = _ _ _ o:e> _ _ x--+2lim j {x) = _ ___ _ lim j {x) = -1 x-+ 1 x--+2 D (\) G b. Li st all discontinuities and classify as removable o r n onremovable. \)ISLM-hhuAl-1'(..~ 1{-t-- X-;-I - ~CIVA\ok.. ) ;(:;.. '1 VtiM~lc~ c. S ketch t he graph off{x). y intercept: ( 0 , - ) 1 3 . I f f {x) = JX a nd g (x) = - domain in interval notation. ( goj)(x)= X~ 0 J ' x-Ll 1 , find ( g .oj )(x) a nd state its 2 -4 X D omain: [ OJ4)V(4J 00 J x -4 4. Letf{x) x <O x 2- 4 0 < x < 2 = X~ 1 2 a. Sketch the graph o fj {x). lim j {x) b. Evaluate limits: = - Lj lim the j {x) = _ __ _ \ x~2+ x~o e. List each discontinuity. I f possible, definef{x) to m ake/ continuous as each o f its discontinuities. IV IS l.C 11 hV! \.t- \L- MJ X=-o , x=-2. , 1){\~ t(o)-= -Y 1n ~~ f- 5. When a 60 passenger boat charges \$10 per person for a day L.(M.hi-ti.Ml.{J o f deep sea fishing, it sells all 60 seats. However, for each ( ..AMo\- Uv-<.- ~ ~'~ 1:- f., ?{)c;l \$3 increase in price it loses 5 passengers. Write a linear ttl- xz 2 t o ~k ~ ( ...fi\S. equation expressing the price per person p in terms o f number ofpassen~rsx. to X t- l{ (, J 5 '5' \h =_ C:.O I3 lf -g SLDf : '!i"b - 'flY\.~ b. tO~ - ~(t,o) -t-'o lO = -3~ +--lo 4~.:-b 6. Use the limit definition to f ind/' (x) f orj{x) Lv ( i: 41.... t L k,_ Q. D"' ec.)f ~ I 1 = _ 1_. x -3 -t Y'l,s- n -I: I ~ 0 .. I tO( 'k. = l.
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