2n Let an %3D 3n + 1 (a) Determine whether (a,} is convergent. convergent divergent (b) Determine whether a, is convergent. n= 1 convergent divergent

Q: 4n Let an = 3n + 1 (a) Determine whether {a,} is convergent. O convergent O divergent (b) Determine…

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Q: n!(2n)! Use the ratio test to determine whether the series n=1 converges or (3n)! diverges.

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Q: 2. Absolute convergent, conditional convergent, or divergent? i) E(-1)k 25k +8 k = 1 ii) E(-1)k 3*+±…

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Q: 6n* ·converges or diverges. State any tests you use Determine if )- n' +3 n=1

A: We have to find the convergence

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Q: conditionally convergent, absolutely convergent or divergent  En=2 (-1)n+1ln(n)/n

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A: The given infinite sum is a geometric progression of the form: a + ar + ar2 + ar3 + .... where a = 1…

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A: ∑n=1-1nlnnn1+1nWe will find the limit of an = -1nlnnn1+1nlimn→∞an = limn→∞-1nlnnn1+1nlimn→∞an =…

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Q: Convergent

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A: Using the ratio test, it can be written that ∑j=1∞aj converges, if limsup aj+1aj<1 and ∑j=1∞aj…

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A: The solution is given below

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Q: Σn=1(−1)n+1

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Q: n-1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter…

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A: given∑n=1∞=-2n2+2n-1-4n3+4n2-2n-2find if convergent or divergent

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Q: series En=1an 100

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Q: (-1)" • Series: Test: Comparison Test n n=1 (a) If the Test Applies: (i) Comparator: (ii) Choose…

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Q: Van converges. Show that if a, > 0 and a, converges, then п п31 n=1

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Q: Conditionally converges, absolutely converges or diverges

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A: Given

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A: Given -  an = 5n4n + 1We have to determine-(1) Whether an is convergent or divergent.(2) Whether ∑n…

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Q: (-1)"-1"

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Q: 7n Let an %3D 8n + 1 (a) Determine whether (a,) is convergent. convergent O divergent DO (b)…

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Q: 1. Does there exist an example? Either give an explicit example or show that none exists! a) An…

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