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Material Type: Exam; Class: Calculus I; Subject: Mathematics; University: Christian Brothers University; Term: Fall 2007;
Typology: Exams
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Math 131
September 13, 2007
Name
You must show all your work. Partial credit will be given.
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-5 -4 -3 -2 -1 1 2 3 4 5
x→− 1 −
f (x) =
x→ 3
f (x) =
x→− 1
f (x) =
x→ 0
1 − cos (x)
x
(5 pts)
(a) lim
x→ 1
x
2
x
2 − 3 x + 2
(b) lim
x→ 0
cos (x)
cot (x)
(c) lim x→∞
1 − 3 x
2
5 x
2 − 3 x + 2
(d) lim
x→
π 2
ln (sin (x))
(e) lim
x→ 3
x
2 − sin (x)
x − 3
(a) f (x) = 3x
2
f
′ (x) =
(b) f (t) = 4t
2 − 12 +
4
t 2
f
(3) (t)
(c) f (x) =
x
2 − x + 1
√
x
f
′′ (x)
