Given the sequence {-}, use the definition of monotone and the Monotone Convergence Theorem to select the correct statement. Select the correct answer below: The sequence is not bounded, so the limit does not exist. The sequence is not monotone, so the limit does not exist. The limit of the sequence is 0. The limit of the sequence is –1.

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A: we have to find a sequence such that it has two limit points.

Q: (a) use Theorem 9.5 to show that the sequence with the given nth term converges and (b) use a…

A: Solution:Given      an=7+1n

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A: NOTE: Refresh your page if you can't see any equations. . the given sequence is

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A:

Q: Determine if the sequence is bounded and if it is monotonic. Determine if the sequenc converges and…

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Q: use the Monotone Convergence Theorem to show the sequence In! converges and find its limit.

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Q: how that every Cauchy sequence {pn} is bounded.

A:

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A:

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Q: Exercise 4. Use the definition of limit to prove that the sequence {n – - is divergent. -

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A: Given bn=n6n to find limit of the above sequence

Q: Determine the limit of the sequence if it converges. Otherwise, state that the sequence diverges

A: Let an = ln 4nln 3n2

Q: Suppose real sequences (sn) and (tn) are bounded. (That is, that their ranges are bounded sets.) i.…

A:

Q: Give an example of a nonincreasing sequence with a limit.

A: The nonincreasing sequence is a sequence {An} of the real numbers that never increases that is An+1…

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Q: Every convergent sequence of real numbers is not bounded ylgn İhi

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A:

Q: Use Theorem Bounded monotonic Sequences to show that the sequence with the given nth term converges…

A: Theorem: A bounded monotonic increasing sequence is convergent. Sequence: an=7+1n

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A:

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A:

Q: Suppose real sequences (sn) and (tn) are bounded. (That is, that their ranges are bounded sets.) i.…

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A: NOTE: Refresh your page if you can't see any equations. . find the limit

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A: The value of the limit of the given sequence is 1.

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A:

Q: Find the limit of the sequence: (;), ÷ (; + -), ; (; + +), E (E )..

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Q: Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. an 49n2…

A: Givenan=2n49n2+5

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Q: For the sequence {-}, }, use the definition of monotone and the Monotone Convergence Theorem to…

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Q: Consider the sequence  1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, ... Determine the limit…

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Q: Using the definition of a convergent sequence, prove:

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Q: an = 4n-²+2

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Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an = (-1)" (- %3D

A:

Q: bn = /n In ( 1 + %3D

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  find the limit

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A: Answer

Q: Determine whether the sequence converges or diverges.If it converges, find the limit.

A: Divergent test: If limn→∞an≠0 then ∑an is divergent.

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A: The solution are next step

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.