assignment_sheet_WA4 - Name College ID Thomas Edison State...

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Name: College ID: Thomas Edison State CollegeCalculus II (MAT-232)Section no.8.1, 8.2, 8.3, 8.4, 8.5Semester and year: Written Assignment 4Answer all assigned exercises, and show all work. Each exercise is worth 4 points.Section 8.12.Write out the terms 126,,,a aaKof the sequence.343 1 3 3 13,,,,,5 2 7 8 3 10nan8.(a) Find the limit of the sequence, (b) use the definition to show that the sequence converges, and (c) plot the sequence on a calculator or CAS.112121211limlimlim 222nnnnnnnannnnnnconvergesto12.Determine whether the sequence converges or diverges.333333313133115121515515limlimlim212221nnnnnnnnnannnnnconvergesWA 4, p. 1
18.Determine whether the sequence converges or diverges.cos11.nanoscillatesbetween andDiverges20.Determine whether the sequence converges or diverges.cos1cos11lim0,nnnnnnnnaeneeeecoslim0nnneusing the squeeze theoremSection 8.24.Determine whether the series converges or diverges. For convergent series, find the sumof the series.01214214,1,2481kkgeometric seriesarconvergesto8.Determine whether the series converges or diverges. For convergent series, find the sumof the series.WA 4, p. 2
1424lim4,40,2kkkkusethekthtermtestkdivergesk10.Determine whether the series converges or diverges. For convergent series, find the sumof the series.11119(3)933(3)333333333142536333333323123933333lim 3(3)2312333113232knnkknkk kSk kkknnnnnk knnn20.Determine whether the series converges or diverges. For convergent series, find the sumof the series.