MATH 241: Quiz #2 Solutions
Date: 9/15/16
Pr. #1) Find the horizontal and vertical asymptotes of the graph of the function.
r(x) =
2x2 + x + 2
x2 5x 6
Solution: (Vertical Asymptote(s) Set the denominator to be zero and solve for x.
x2 5x 6 = 0 (x + 1)(x 6
MATH 241: Quiz #1 Solutions
Date: 9/1/16
Pr. #1) Below is an infinite limit. First, explain why it is an infinite limit, then evaluate it.
lim
x7
x2 x 6
x2 10x + 21
Solution: We have
lim
x7
x2 x 6
(x + 2)(x 3)
= lim
x2 10x + 21 x7 (x 7)(x 3)
x+2
= lim
x7
MATH 241: Quiz #3 Solutions
Date: 9/22/16
Pr. #1) Use the definition of the derivative f 0 (x) = limh0
f (x+h)f (x)
h
to find the derivative of f (x) =
1
x+3 .
Solution:
1
x+h+3
1
x+3
h0
h
x+3xh3
= lim
h0 h(x + h + 3)(x + 3)
h
= lim
h0
h(x + h + 3)(x +