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Millersville University
Department of Mathematics
MATH 211, Calculus II, Test 3
April 12, 2007, 8:00AM8:50AM
Name~A~~~~~ __ ~_~ft ________ _
Please answer the following questions. Your answers will be evaluated on their correctness,
completeness, and use of mathematical concepts we have covered. Please show all work and
write out your work neatly. Answers without supporting work will receive no credit. The
point values of the problems are listed in parentheses.
1. (9 points) Use a known Taylor series to find the value of the following limit.
2
~
(..&.1  l
~

~&4
~ ') 0
~...,O
:I
~
~...,o

~



~ "'0
2. (9 points) Use a known Taylor series to find the Taylor series with c = 0 for the function
f(x) = xe
x2
.
Nate. '.

3. (10 points) Find the Maclaurin series for cosh x.
t..d:
~(~)= ~~.
1(k)(O)
'i: i(II.'(O) k
k
lw\(y.)
k!
~t~) =
~~
k' ~ 0
,
~= 0 .
,
~~
0
2.
~'>'
1/2,t
~ ~~ 0
"
~~
'hit
S
~a'X. w...
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