Ernst_Test_3_Fall_2007-1

# Ernst_Test_3_Fall_2007-1 - 'i~q1L t Jlv.ev'jtll\t 1...

This preview shows pages 1–4. Sign up to view the full content.

0 12'3 I i 'I" Ii I' " /JjD lv NAME . ~ \ ..•. \) 1••• -! ~. ',J DEC. 13, 2007 1. (8 pts.) Evaluate the integral. Use proper notation. = ,/; I ~ -kt~-, 'X L I•••• ~ PM Sl~ ~I I, ~ -"/1Jt\ -l"'/tX1 y.. _, -Ie ) St!-/ (Ol» - 5/1.1 t 2. (10 pts.) Determine if the sequence is convergent or divergent. Find the limit. f -- r e" } a. tell +1 - 5 .- 5

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
1-5n 3. (8 pts.) Let all = 3 + 5n a. Determine whether {all} is convergent. = b. Determine whether L all is convergent. 1l=1 CP"nV~YL~t !pic.- ~ ~ ~~/Sh 31 ~ 4. (8 pts.) Find the sum of the geometric series. (Define a and r) 00 211 I~ 11=1 e :b- - e 5. (9 pts) Determine the nth partial sum 5" ' and find the sum 5 , of the series. = 3 L n2 -1 1/=2 2 'S .,.
\ 6. (24 pts.) Determine whether the series is convergent or divergent. = n a. L 1+n2 11=1 ~ ~ \. cl~ ) . \:)L.•.. d.,. '2) v t 1 -7 yo v-;\w1. 1,,1" ~ L'" (I ~..,."l) ~\.l~?"'c\'"

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 'i~q1L t Jlv.ev'jtll\t 1 \ \ l (}>v" )<.C"" [j L--I b. ~ (-1)" 0/'1+' L C} 11=1 (5 + n) N \-, L -1 b I dT j 9'-.1 E:~(;. . '('" . a I S I f I C OAVe. '<Je. .J-~ <0 I' \' = 1 c. L 3r;; n=l \I n '-/. N ) 7. (16 pts.) Determine whether the series is absolutely convergent, conditionally convergent or divergent. a. :t (-1)" n=1-:: 8 b. f~ n=l e2n i---1'\ I} )() l v T I::.l 'I (PNVC'llG~NT 8. (8 pts.) Find the open interval of convergence and the radius of convergence. :t (x + 4)" n=l n r-I-i-~ j ,LJ ) ! ) 9. (9 pts.) Write a power series representation for the function and determine the interval of convergence. x !(x)=2+x...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern