Math 190
Name:
Take Home Assignment 1 (Sections 2.5, 2.6, 2.7)
Due by: noon on Thursday, September 22
Instructions: You must show sufficient work or provide sufficient explanation for your
answers to receive full credit. This take-home assignment is essentially a practice quiz in
preparation for the upcoming exam; I suggest you try to complete it without notes and help
from classmates as much as possible.
1. Evaluate the following limits algebraically:
p
x 5
(a) (7 points) lim
x!25 x
25
2 sin(8✓)
x!0
✓
(b) (3 points) lim
2. (3 points) Use the squeeze theorem to evaluate lim xex cos
x!0
1
x
3. (7 points) By solving certain limits algebraically, find the horizontal asymptotes of
9x2 4x
f (x) =
2x + 3
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