Point Value : 20Time limit : 1 min

#1

2

24

4 32lim9 20x

x xx x

Point Value : 20Time limit : 1 min

#2

2

3

4 5 11lim2 5x

x xx

Point Value : 10Time limit : 1 min

#3

2

4

lim 3sinx

x

Point Value : 30Time limit : 2 min

#4

4

4lim2x

xx

Point Value : 30Time limit : 2 min

#5

0lim 5( tan3 )(csc2 )x

x x

Point Value : 20Time limit : 1 min

#6

Point Value : 10Time limit : 30 sec

#7

2

lim 3x

x

Point Value : 30Time limit : 1.5 min

#8

2

33

2 3 9lim27x

x xx

Point Value : 20Time limit : 1 min

#9 2

2

10 2( )

3 2

x if xf x

x if x

2limx

f(x)

Point Value : 20Time limit : 1 min

#10

3

2

2lim4 3 7x

xx x

Point Value : 20Time limit : 1 min

#11

16limx

xx

Point Value : 20Time limit : 1 min

#12

Point Value : 30Time limit : 2 min

#13

0

1 12 2lim

x

xx

Point Value : 10Time limit : 30 sec

#14

7

lim 4 2x

x

Point Value : 30Time limit : 2 min

#15

2 2

0

2( ) 1 2 1limx

x x x x x x

x

Point Value : 20Time limit : 1 min

#16

5 3

2 5

5 3 2 1( )7 2 3 4x x xg xx x x

Find the horizontal asymptotesFind the horizontal asymptotes

Point Value : 10Time limit : 30 sec

#17

3( ) 3 3 1g x x x

State if the function is State if the function is continuous or discontinuous. If continuous or discontinuous. If discontinuous, determine the discontinuous, determine the

points of discontinuity and points of discontinuity and state whether it is removable or state whether it is removable or

non-removable.non-removable.

Point Value : 20Time limit : 1 min

#18

23 27( )3

xg xx

State if the function is State if the function is continuous or discontinuous. If continuous or discontinuous. If discontinuous, determine the discontinuous, determine the

points of discontinuity and points of discontinuity and state whether it is removable or state whether it is removable or

non-removable.non-removable.

Point Value : 20Time limit : 1.5 min

#19

2

2 1 0( )

1 0

x xg x

x x

State if the function is State if the function is continuous or discontinuous. If continuous or discontinuous. If discontinuous, determine the discontinuous, determine the

points of discontinuity and points of discontinuity and state whether it is removable or state whether it is removable or

non-removable.non-removable.

Point Value : 40Time limit : 2 min

#20

2/ 2

1 sinlim3cosx

xx

Point Value : 40Time limit : 2 min

#21