-2n + 2n – 1 En=1 -4n° + 4n² – 2n – 2 3

Q: sin[(2n-1) Does Σ-1 converge absolutely, non-absolutely, or diverges.

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Q: an a) Converges n2 b) lim an =0 > cans converges dd) > cos (an) Converges n=1 e) Cos can) diverges

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Q: 1 En=1 4n² 8n +3

A: ∑n=1+∞ 14n2-8n+3using limit comparison testlimn→∞ 14n2-8n+31n2limn→∞ n24n2-8n+3factorisinglimn→∞…

Q: Is the statement always, sometimes, or never true?

A: a) Let Sn and Tn be the nth partial sum of the series with nth term an and bn. Since the series…

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Q: CH 10.3 Class Expresse II Use the integral test 2° Σ 3+1 Convergent is to determine whether or…

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Q: 1 1 Зп — 1 3n + 2 n=1

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Q: Gite an example of 2seriesin whichfan is bvergent- and bn ts divergentibtat can tos is convergento…

A: A series is divergent if it partial sum is not bounded

Q: 1+ + (- 2)* + (-2)° +-- (-2) + (-2)* + (-2)* ... Convergent, and the value Check one. Divergent.

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

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Q: State and prove divergence or convergence. Thank you

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Q: QUTest for convergent and divergent : (show your work) e-2 1. Σ1-1 n+cos²n 9n 2. En=1 (-2)n+1.n

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Q: Determine whether sum ((5n12 +1)1/3 )/((3n12 -1)1/2) converges or diverges.

A: Given series is

Q: 2n Let an = 3n +5 Determine whether {an} is convergent. Determine whether an is convergent.

A: To determine whether the given sequence and series is convergent or not.

Q: •Determinc whether the sequence Converges or divergeS. If it Converges, find the limit. 1. 8 lim an=…

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Q: eries is conditionally convergent th eries is convergent then it is condi - IV I, IV II

A: A series is sum of terms of an infinite sequence of numbers.

Q: (n2 +1)2 n=1 2.

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Q: 3n? + 2n +3 2n -5n+6 Determine if the sequence a, converges or diverges. If it converges, find its…

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Q: * :use convergence test on the function an = (1-1)" with nth root test n B) diverges C) equals 1 A)…

A: Solution:

Q: · (−1)″ √2n+ 5 n³ +2n +4 n=1 t) Å sin(n) 3 n

A: Given series are: s) ∑n=1∞-1n2n+5n3+2n+4                            t)  ∑n=1∞sinnn3 To prove: Test…

Q: 1. Σ 4n2 in 8n +3

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Q: State and prove divergence or convergence. Thank you

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Q: ∑∞ ((−1)^n−1(1−n)) /(3n−n^2) n=1 Find if the series converges or diverges! Find the limit if it…

A: Topic- Series

Q: ... ..... IR I IRINHIN...... ... IRINNS Let an 4n 5n + 1 (a) Determine whether (an) is convergent.…

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Q: 8. n2- 1 n = 2 convergent divergent If it is convergent, find its sum. (If the c

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Q: n - 1 converges absolutely because lim - 2 (n – 1) R=1 True O False Reset Selection

A: Consider the given series.

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

A: Given: an=2n3n+1

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Q: Converges or diverges and it's sum of it diverges

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Q: +00 2 -1)"+1(3n)! 3n+1

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Q: convergent (L VNRMEN

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Q: 5 2n Determine if the sequence {4} converges or diverges. If it converges, find its limit: 3n 7…

A: To determine the limit of the sequence.

Q: 9n Let an Зп + 1 (a) Determine whether {a,} is convergent. convergent O divergent (b) Determine…

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Q: 7n + 2n +4 7n +5n° +3 n-1

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Q: Inx? x² –1, 2 x=2 A-Converges B-Diverges C- Absolutely converges D-Conditionally converges 8.

A: In both cases we use comparison test.

Q: ÷ + (금)'+ (금)" + (능)' + (금)' + (우) 1 2 3 (1) 1 + 9 (우) Convergent, and the value Check one.…

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Q: 5n Let an 6n + 1 (a) Determine whether {a,} is convergent. convergent divergent 00 (b) Determine…

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Q: 3k k 18.) Converge or diverge? Explain. Ek=1 5k-1,

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Q: 39 and 47 please ??

A: You have posted multiple questions. As per the instruction, we will be answering only the first one…

Q: Q1)Test for convergent and divergent : (show your work) e-2 1. En=1 n+cos²n 9n 2. Σο-1 Ln=1…

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Q: 2n Let an= 7n + 1 (a) Determine whether (an} is convergent. convergent divergent (b) Determine…

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Q: {(sqrt(9n^2+7n+2))/(4n-4)} determine if sequence converge or diverge.  If convergent, find limit.

A: Consider a sequence

Q: 24) Identifa tue internel of convergen ce of a power ser's Ž (3)" n-1 (-3)", n=) a ) b) c) d) 3 2x23…

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Q: Sequence which Converges 1P, where not in any Space L,where 1sp% td. to (space l) Find a to. but is

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Q: (-3)" converges or diverges. Vn Determine whether n=1

A: ∑n=1∞-3nn Here, an=-3nn

Q: 8n+5 1) Determine the convergence or divergence of the sequence: an 4n If the sequence converges,…

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Q: the series : 2 3 3 5 Select one: a. converges absolutely O b. converges conditionally c. diverges d.…

A: Check the given series by limit comparision test.

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

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Q: The sequence fn(x) = is 72 Select one: a. diverges Ob. converges uniformly but not pointwise C.…

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