4b - for "f(r) = sin(x) centered about a=f,...

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MA 241 Test 4 Fall2007 Form B *Show all work clearlY. * Begin each problem on a new Pa!e. * NO CALCULATORS, NO CELL PHONES, NO PDAS. When proving convergence or divergence, name the test, show the criteria is met, and make a conctuding statement. - *(-1)'(-r+2)' 1. (20 points) Find the interval of convergence for >-=, The answer is not converges for all x or converges at one value ofx' 2 , ( I 0 points) Find a power series representation centered about 0 for the function f ( x\ = -f ^ . Do not state the radius or interval of convetgence due to time. 1+ 4x' 3. (15 points) a. Write the first 4 terms of the Maclaurin series and completely simplifu each term fot f(x)= a2s-z (10 points) b. Write the Maclaurin series for f(x)= az;-z
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Unformatted text preview: for "f(r) = sin(x) centered about a=f, and simplifi ehch term. 5. (12.5 points each) Work2of the followinq. If yoq work 3. oirlv the first 2 worked will be sraded. For each of the following, determine if the series-onu".g., or diverges. Don,t forget: Name the test, show that t1'e criteria is met to prove convergence or divergence and make a concluding statement' "i fi-'4n2+ln(n) S (-l)'(3n) * t,.n :+ b. Leave when you finish ONLY if you do not pass over anyone on your row or leave only at the group leave times posted on the board. Thanks! nr',[;; tnn /*rz\n ='S-ti t lh Fmrn '' Z=o-n I =Ze)''LI U ) '1/x' /n\= I fl*) /]=D Y-n r( ly-'2 , ='G '.{ n /)z I '-utt)i4 haa r]r'l + .-------. ..--...
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4b - for "f(r) = sin(x) centered about a=f,...

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