{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# test4 - MATH 1005F Test 4 1 This test paper has yfquestions...

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

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

View Full Document

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: MATH 1005F Test 4 November 23, 2009 1 ;. This test paper has yfquestions and total of 30 marks. It cannot be taken from the examina— tion room. Only nonprogrammable calculators are allowed. Duration: 50 Minutes. NAME : STUDENT NO : PART I: Multiple Choice Questions. No partial marks. Circle the correct answer. (—1)” 5” n? :13 . n3 [3] 1. What is the radius of convergence of the power series 2 nzl <a>o .§ (as (d); <e>oo 5n+1 n3 .«: SQJ—waas‘ W4”) {:1 ﬂ ‘+ i / g I’? n’f‘i ‘ o, n C“ 1‘ I K —— "E 00 n2 [3] 2. What is the radius of convergence of the power series 2 11:" 7 2" n! 1 :1 (b) 5 (c) 2 (d) 1 (e) 0 '2, 00+} MIL, ‘, 3:21.. .. .ﬁlﬂﬁl‘kw) on 2” (Mi), 0 .. 0.0 [3] 3. You are given that the radius of convergence of the power series 2 W ' IS 1. _ 37L + 1 71—1 W hat is the interval Of convergence? (a)(*1,1) (1)) [2,4) (C) (3,5) .(3i5l (6) [3,5] iris/3 (70/1,, INA/.4 IFS 0“ n “ Z M 2’: 3., ZN ("1 , W are * X1 .. 30,“ h?! n4! £ r "\ Vrf€n ‘ .70 tin with '3 (”n 95 /§9 ZL/ I X’ " 3n+l MATH 1005F Test 4 November 23, 2mg 2 PART II: Long answer questions. Show all your work. [3] 4. Find the radius of convergence and the interval of convergence of the power series farl)". n21 AN 1 A do @ ﬂ [XV—J n -; "fl/:7”, I); 0 K04 >/\ OW v7 er » 5[5]. Find the radius of convergence and the interval of convergence of the power series C13 2%(I—1Yl' r) waﬁ—»%W MIL¢%U% n ‘/ 3 ﬂ n i if om 4m [MATH 1005]? Test 4 November 23, 20097 3 [7] 6. Find the radius of convergence and the interval of convergence of the power series i<\$n+7f)n' ﬂ ”:1 ﬂ 9") 2; 7+!) J’— ) 9111)-] : "1"”: ’ I Om 1 h :L“ Q” (n+1) ?n I ’3 ,3+}:Q ../5-?:»/0 n 70 f n ﬂjanweygoﬁ IC Zk’gf ; n @359 X" ‘ n?” no |MATH 1005F Test 4 November 23, 2009 4 7. Find a. power series representation for the following functions: [31(a) f(:v)= 3i méi' \Y/e, Lnow M 3 2740) IX “‘59 ap/H , n 3H4 0p 1) 3n” _' X X ZN) X ’ Z( ) 35,, ” mo ...
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