Math 1210
Quiz 2
January 17th, 2014
Answer four (4) of the five (5) questions below. Please indicate which
questions you want to have graded. Every question is worth the same. You
may use scratch paper, but you can only turn in this sheet. Please justify
your answer in the space provided: writing the solution without any
explanation is not enough. No cell phones, calculators, notes, or music
players are allowed during the quiz.
Name:
Which 4 questions do you want to have graded?:
x+1
1. Find the limits limx→2+ x2 −5x+6
and limx→2−
x+1
f (x) = x2 −5x+6 near x = 2.
2. Find limt→0
UID:
x+1
.
x2 −5x+6
[tan(3t)]2
.
2t
3. Find limx→∞
√2x+1
x3 +2
and limx→∞
√2x+1
x3 +2
sin
1
x4
Sketch the graph of the function
4. Find the limit limx→∞
√
2x2 + 3 −
√
2x2 − 5 .
5. Sketch the graph of the function f (x) =
limits
[[x]]
,
lim−
t→0
x
[[x]]
x
Page 2
on the interval [−1, 1] and compute the
lim+
t→0
[[x]]
x