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Q: What are the all composition series of Z45?

A: What are the all composition series of Z45?

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. ncos(n) an…

A: Squeeze theorem for sequence : Suppose limn→∞ bn =limn→∞ cn=L  and there exist N0∈ℕ such that…

Q: Consider the alternating series (-1)" by with 2n4 n4-7 1-4 a. Is the sequence (bn) increasing or…

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Q: Suppose that an infinite series aj + az + az + Otherwise, the series + a, approaches a value L as n…

A: Given :  Infinite series a1 + a2 + a3 + ... + an  approaches L when n tends to ∞ .

Q: b) an = Find the limit of the sequence, if it exists. (Again, this is a sequence, not a series)…

A: To find the limit of the sequence, if it exists.an=1-3n5n

Q: If the ratio of the geometric series Ir|<1, then it is converge and it's sum is:

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Q: Find the limit of the series 3-1 + 3-2 + 3-3 + ...+ 3-n+ ... additionally, write the sum in sigma…

A: Given: series is 3-1+3-2+3-3+…+3-n+… To be find: limit of the series and write sum in sigma…

Q: 25. What is a Maclaurin series?

A: Our Aim is to define Maclaurin Series.

Q: 4. Does the following series 1 converge? Explain. n¹4 n!

A: The given series is  ∑n=1∞ n4 4nn!                Let  an = n4 4nn!  then  an+1 = n+14…

Q: The exact value of the series is discovered by /-

A: Consider the series

Q: 4. Does the series Σn=2 (-1)" √n converge? Why?

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Q: Where does the subsequence series Nk = 2kpi come from? While I know it's used to specify the set of…

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Q: if n is a prime number Let an = otherwise. Does Ean converge? Give reasons for your answer. Select…

A: In the given question we have to check the function is convergent or divergent.

Q: Use the alternating series estimation theorem to determine how many terms should be used to estimate…

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Q: 4) Consider the recursively defined sequence an+1 az +15 for integer n 21 and a = 8. An +3 a. What…

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Q: Consider the series ∞∑n=0 n4−3/3+n5 How would you do limit comparison test on this one?

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Q: arithmetic

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Q: Apply Maclaurin's series to establish the power series of tanx.

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Q: The limit of the sequence Zn = Arg(-i+) is equal to Select one: -TO O a. O b. 21 -3T O d.

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Q: Find a power series for + 3.

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Q: Which of the following sequence is divergent? {=} en n (-1)"+1 n n? l n +1] {-3}

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Q: Consider the series where (-n-3)" (-4n - 1)" In this problem you must attempt to use the Root Test…

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Q: Q2. Check the convergence of the series tan"

A: The expansion of tan-1x=x-13x3+15x5-17x7+...... Putting x=1n , we get…