calculus quiz

14FASU MA123-01 MOCK TEST

Find a quiet place where you can work without interruption for 50 minutes and do this quiz. Time

yourself. You must be able to (at least) attempt all the problems here. This is good practice for your quiz

on Monday.

1. Given 23

12 )(



 

x

x xf , 35)(  xxg , calculate: ))2(())3(( fggf 

2. Find 673

3 2

3 lim





 xx

x

x

3. Find xy

xy

xy 



 lim

4. Find 1

2 lim

1 



  x

x

x

5. Find 673

103 2

2

lim 



 xx

xx

x

6. Find 112

23 lim





 x

x

x

7. Find 1

1 2

3

1 lim





 x

x

x

8. Given:  

2

22





xifx

xifxxf

a. Calculate f(2)

b. Calculate f(-2)

c. Find all values of x at which f(x) is not continuous

9. Find 1

11 lim

1 



  x

x

x