MA140-01
1/28/09
Major Quiz 1
Who are you? _______________
Show all your work and explain your answers completely. I cannot give partial credit for answers that are both
wrong and unexplained. Even correct "bottom line" answers that are mysterious and unsupported will not be
considered completely correct. Show me what you are thinking. Try to keep your answers neat and organized so th at I
can follow them easily.
1.) Find each of the following limits, if they exist.
(a)
3
214
lim
2
3
−
−+
→
x
xx
x
(b)
9
62
lim
9
−
−
→
x
x
x
(c)
3 2
3
4 2 5
lim
8 2
x
x x
x x
→∞
+ −
+ +
2.)
Find k in the following function so that f(x) has a limit as x approaches 2.
4 1, 2
( )
3 5 , 2
x x
f x x k x
− ≤
=
+ >
