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# 4 - ^ 5(12.5 points each Work 2 of the followins If you...

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MA24l Test 4 Fall 2007 Form A Show all work clearly. Begin each problem on a new page. NO CALCULATORS, NO CELL PHONES,NO PDAs. When proving convergence or divergence, name the test, show the criteria is metn and make a concluding statement. l. (20 points) Find the interval of convergence fo, iE# t-1 The answer is not convergbs for all x or converges at one value ofx. 2. ( I 0 points) Find a power sbries representation centered about 0 for the function -2 f (x) = -- ^ - . Do not state the radius or interval of convergence due to time. 1-3r 3. (15 points) a. Write the first 4 terms of the Maclaurin series for f (x) =17s3" and completely simple each term. ( 1 0 points) b. Write the Maclaurin series for f (x) = h.s3' 4. (20 points) Write the fnst 4 terms of the Taylor series for "f(r) = cos(x) centered abofi a : !

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Unformatted text preview: ^ ' 5. (12.5 points each) Work 2 of the followins. If you work 3. only the first 2 worked will be eraded. For each ofthe following, determine if the sbries converges or diverges. Don't forget: Ndme the test, show that the criteria is met to prove the convergence or divergencd and make a concluding statement. Sn a. > ----r--fin" +ln(n) b. i *'-' 4 (n +l\l \$(-t)'n' frznt +1 Leave when you frnish ONLY ifyou do not pass over anyone on your row or leave only at the group leave times posted on the board' Thanks! aA+l nfl rt 1 X-z 1 Y_L/ noa fi nfr rl--4=l n3n (s*) --a, 3t 3,*-..4 _lt/ \ " - 17 I 5;n'f' 5,n Vy'92---"fi--*" ,^2, / ntl X'- /?"'/ Gr) Xoo' t l/4.? z-{ +n r + /x-% 'fin-/1 r) nz+ln rl I =l y'1'->rv =l7O fl=l t*t\ I 8"' /4 f l'-.- - 4 , - / ' 1 haa. 2t'f t t-e/) n l- t/- - ' a h.* 2't'il...
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4 - ^ 5(12.5 points each Work 2 of the followins If you...

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