Math 424
Homework 11
Due Wednesday, December 5, 2012
This material will be covered on the third exam.
1. Rosenlicht VII 29, 30
2. Rosenlicht VII (Extra credit 1.5 pts) - 41.
3. (E) Using Stirlings formula, compute
log(n2 )!
n n log n!
a = lim
and determin
Math 424
Homework 6
Due Friday, October 19, 2012
The maximum possible score on Problem 6 is 1 12 points, so it is partially a regular question
and partially extra credit.
1. Rosenlicht Ch. IV 16.
2. Rosenlicht Ch. IV 33.
3. Rosenlicht Ch. IV 41.
4. (E) Su
Math 424
Homework 7
Due Monday, October 29, 2012
1. Rosenlicht Ch. V-8.
2. Rosenlicht Ch. V-14.
3. (E) True or false. If these statements are true, give a short proof. If these statements
are flase, give a simple counterexample with explanation. A suffici
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g 1 N 7 (M. U (Cb ) HOV @5615
(U: OtAL/J - 5
J A 2 [UL ) Irv nu Sv,>vae 7: (1:7 cfw_[2, Dog (Vs/(L
N l _>
on U, 24.]: [L5, 5 but C 8 " (53). "2
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7% focus/K
Math 424
Homework 9
Due Wednesday, November 14, 2012
Note: This material will be covered on the third exam.
1. Rosenlicht VI - 18 (Please do this as an exercise in change of variables and dont use what
you know from other classes about the integration of
Math 424
Homework 2
Due Friday, September 14, 2012
The first normal homework. Recall the instructions and feel free to work together in trying
to understand the problems. I want you to write up the solutions individually, however. I
will be answering emai
Math 424
Homework 10
Due Wednesday, November 28, 2012
Note: This material will be covered on the third exam.
1. Rosenlicht VII 3. Pictures are an acceptable form of solution here.
2. Rosenlicht VII - 24.
3. (Extra credit 1.5 pts) Evaluate
lim
n
n
Y
n+j
j
Math 424
Homework 8
Due Monday, November 5, 2012
Note: This material will be covered on the third exam.
1. Rosenlicht Ch. VI-1. (Hint: I would use the partitiion PN = cfw_0, N1 , . . . , NN1 , 1. You do
not have to prove any standard summation formulas yo
Math 424
Homework 3
Due Friday, September 21, 2012
Extra-credit means just that. Points go to the numerator, not the denominator.
1. Rosenlicht Ch. III #10. (Think about cluster points.)
P
2. Rosenlicht Ch. III #11. (As a hint, let bn = n1 ni=1 ai , and l