prelim3_fa08_solutions - Math 1910 Prelim III Solutions Problem 1(a 7pts Determine whether the series n=1(1)n 3n ln n converges conditionally converges

prelim3_fa08_solutions - Math 1910 Prelim III Solutions...

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Math 1910: Prelim III Solutions (12/02/2008) Problem 1.(a)( 7pts)Determine whether the seriesn=1(1)n3n+lnnconverges conditionally, converges ab-solutely or diverges. Justify your answer. (b)( 6pts)Determine whether the series(1)n(1 +1 (c)( 7pts)Find all the values ofxsuch that the series 1
Problem 2.Decide whether or not each of the following integrals converges.If it converges, determine the value of the integral.(a)( 10pts)integraldisplay1(ln(x))3x3dx.

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