Circuit Training – Limits Name___________________________________________________ Directions: Beginning in the first cell marked #1, find the requested information. To advance in the circuit, hunt for your answer and mark that cell #2. Continue working in this manner until you complete the circuit. Ans: #1__

Ans: 0 #____

Ans: DNE (and not or - ) #____ ( ) =

− + − − +

f (x) has a hole at x = ?.

Ans: 0.249 #____

Ans: 3 #____

Ans: -1 #____

Ans: 2 #____

Ans: -2 #____

© 2014 Mark Kiraly; Ryan HS; Denton, TX

Find f (-1).

+ −

+ −

( ) Find

− + −

−

( + ) − ( + ) −

CEI - BC APSI APSI - July 2019 27

JMCDIZZLE

72 Y Z

y.ms x22x2lxiz x o x x sixtyIlim

o 214 2

Limo.ie 5L

H 4x x 4 31 4 F5tr Lmx 3Lx4 x 2 ET tr ox E305J

li Iimx 2 o x trIim 1

cancelingfectory o BX 4 0.289

10 2

EI DHE iHMI z 7 1

IS 13fins.ae x

a

jygott8bxtDx2 t2 3DxxfvAx l.x 1 Ax

Q.gr i l.iEsoYIII fismoEETliE.o x 5y S 55

Ans: -¼ #____ f (x) has a vertical asymptote at x = ?.

Ans: 4 #____ Is continuous at x = 0? If yes, it is continuous, then go find the Ans: -2. If no, it is not continuous, then go find the Ans: 5.

Ans: - #____

Ans: 5 #____

Ans: 0.289 #____ Is continuous at x = 1? If yes, it is continuous, then go find the Ans: 3. If no, it is not continuous, then go find the Ans: -4.

Ans: -5 #____

( ) = − + + −

f (x) has a removable discontinuity at x = ?.

Ans: -4 #____

Ans: 1 #____

x 1.9 1.99 1.999 2 2.001 2.01 2.1 f (x) A B C - D E F

Filling in the table above, what value would take the place of E? (Round to three places.)

© 2014 Mark Kiraly; Ryan HS; Denton, TX

( ) = − + + −

( ) = < + ≥

Find ( ) Find f (1).

( ) = ≤ − >

Find ( )

− −

8 12 cos 05 13 x o

Xt5 3 o't1 1

Nonecanceling

factordenim

5

16 14

L 3

5 atx qX 21txt5at 1,4 1

HOLEcuncelngfac.to

x 3

6 3

I D

yfix 2

f 2 ol 21 0.2494.01