Quiz Monday-Tuesday on 1-2 to 1-3

Review guide for Friday/Monday quiz on limit basics

Part one(non-calculator):

1. Solve limits using analytical solving methods:

A)    Substitution (2  one trig/one non-trig):_________________ Pg 67: #5-22, 27-36

B)    Factoring ( 1 or 2 any method possible):____________  Pg 68:  #52, 53, 54, or see four examples in notes

C)    Synthetic Division (1): __________________ Pg 68: #47, 48, 80, or see two examples in notes

D)    Conjugation (1): ___________________ Pg 68:  #55, 56, 78 (by hand) or see examples in notes

E)     Common denominator (1): ___________________  Pg 68:  #59, 60 or see ones in notes

F)     Trig limits using identities and/or special trig limits (1 or 2): ________________________

Pg 68:  #65, 69, 67, 68, 82 (by hand) or see notes

G)    Multiply by a form of one (1 non conjugation):_____________  Pg 68:  #81 by hand, or see example in notes

Part two(calculator):

1.  Given certain limits find other limits through knowledge of the limit properties:_________________                   Pg 68  #37-38

2. Solve a limit with your calculator and a chart (1):_________________pg 54:  #’s 1-8  (Calc)

3. Solve a limit graphically without the function given to you but given a picture instead.  If you say that the limit does not exist be able to defend why with the proper mathematical reason (3 or 4):__________        Pg 55: #15-24, 26

              4.   Solve a limit by using properties of limits and the basic limit theorems I.E. (proof) (1): _____________  Pg 67:   #8, 11, 13, 15, 19. (But will probably be a little harder than these and more like the ones in  your notes)

                    

      5.   Given a piecewise function and identifying where the limit would not exist and finding values that do exist(1) :_______________  Pg 55 : #29