Key quiz 1 f'10

# Key quiz 1 f'10 - Math 111 22 points Quiz 1 PLEDGED K'T You...

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Unformatted text preview: Math 111 22 points Quiz 1 PLEDGED K-'T You are to work this quiz at one sitting without the use o f notes, text, internet, or another person. This quiz is to represent your work and your understanding o f these concepts. Due Friday, September 1 at class time. I. For each o f the following, evaluate the limit when it exists, else show that the limit does not exist. In either case provide (in words) a graphical interpretation. (2 points per limit, 12 points total) 4 -x x -16 (1) Given: f (X)=-2 ­ (a) \\h~ "oJ­ ~ (~~ =[! ] (4, - 8) (b) lim f (x) x . .. -4, ----------- _~ ~fx;;)~ . ." _\ " "D N E;7 0­ X =,,-L-\ (2) l im x -+% ~ • 2 Sl~ S IDX-COSX C:s i Y \ ~ e 6) 5 \2 -J"~ -+ _~ : = ~,@- =to ~J ""-"-h-o-\e,-'-1-oJ--;;l--rr I J2.) ;). __ (\$ f?'ii7t:-<-L o S X ) ( 5 i n )( + COS ]C) lim(-f3x + 16 - 5 ) ( J"%+ 1(,: + 5 J x -+3 ( x-3) p+o+e. 2 = LI (3) Lim,'-/::; i s 0.. ~c x - cos x 'X;::rt in+; n i-l-e l~3)(~4-b ~ 3)<+H.t'-~~ y.~ 3 (X-3)(~31<+\C; +-S) Nofe..: ~ k 1 (5) ~~ rmx e - I :::: e . :::: ~::= ~ ~ oJ.s.o _ _ _ ~ _1- -Jkn)C X ~ e. \f""~"7 (x~+-e-f x +e \ !IS/elL: / - -f.t--n X• r :::- L C:D ~ =:;: 0 / .:;Je ~~)< ( x+e) Ce) 0 ) i s on ~ -e, a ~()il'\t ~Y' c:.;h~ II. Discuss any discontinuities in the function - --.-.--'- - - - - ­ removable or non-removable Put .nfi be.low. ClassIfy each discontinuity as (10 points) . your 1 ormatIon together i n good paragraph £orm. ~)t4 3 ~~25---x-" x +l, F (x)= 3, 2 x-3, - 3x x -s' A side: X ::; 3 x >3 01- i 1"\ r efY\ov£A.-ble. 3 <x<5 x =5 5<x~6 x >6 Y\ d.O'(YI.a. tn ~ -t:{x) = If )(~ '3 ~ 7) A./E rbY\refr\oya...bk:... ~ {)(-1-I) -:::10 =F~ (:1"1--3 ):; 1 ;< -;. 5 X~5e~+l ("\VLOU-S aJ- X~5"'" X:::-(p X = g ~ 7JNE/ n on r ef'V\oYo..b1e. Id~ - I) l heu- QA.L'~ ~~~. ~ O C(..L.uL , I+t o::t X =:3) X.::os:, ~o.. X = ~ · X=='3 ~ ...va D... / LVYVloV o.fJ.-6- oL.L; ( !orJi n~ ~~FC~);I{. ~~ X - .-, 3 --t-z,..ro . l1oY\Y-~o-V~ ~Chr\+;n~' ~ 1-=5 +Iu.. ~ ~ ~ £/f-c4f,~u.., ~ ~b~(7)~~~~~ ~(C.) . .~~~ a;:l J...c:= g ~c.t-. fJ L~C I/~(Ja~~' ~ ~ /J-e- ~ .' ...
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## This note was uploaded on 12/05/2011 for the course MATH 111 taught by Professor Bang during the Fall '08 term at Emory.

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Key quiz 1 f'10 - Math 111 22 points Quiz 1 PLEDGED K'T You...

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