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Unformatted text preview: MAT 127 Check one: "'---'-~- :tn Number Lecture
2 #4 MIDTERM 1
T Th 2:20'-3:40
M W 5:20~6:40 Gorsky
Vito ~~~~--------------~~ No calculators are allowed.
Do aU of your work in this exam booklet, and cross out any work the
grader should ignore. You may use the backs of pages, but indicate deafly
what is where.
Problems without full justification
credit, even if the answer is correct. (Le., "work") will not receive Leave all answers in exact form, that
roots, etc. 1 IS, do not approximate 7r, full squate Problems 1-,-8.-'fest for convergence (no credit for afiswer without a correct
corrrplete justification). If you use a test, you must show why it W()rk$~
yoU c-anit just say: "comparison test" or "integral test", :YouihU$t make the
cbmparisoh or compute the appropriate integral. 1) f (~)n n:=O 3 00 2) .
2 :L n
n':l ~ ~ n4 L
<Xl 3) - n=2 n~+n
n-1 2 4) CX?
E (1 1)
k! ~ 2k k=l 3 00 7) 2: n e2 n n=l 8) 00 ~
L.-t • SInn
n2 n=l 4 9. Fihd how many terms you need to approximate
00 n=l t:ortectly to 3 decimal places. Will the ~rror be positive or negative? 10. Find a good bound on the error if you use the finite sum
20 I:ne- n n=l to approximate the infinite sum
00 5 ...
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This note was uploaded on 01/25/2012 for the course MAT 127 taught by Professor Guan-yushi during the Fall '07 term at SUNY Stony Brook.
- Fall '07