Find the smallest positive integer n so that S, approximates the sum of the convergent ser to four decimal places. Select one: a.n=22

Q: p for which In (n) Comvenges

A: Given∑n=1∞ln(n)np

Q: Decide whether the following converges or diverges. 1 En=1 Inn+n!/2 100

A: Given series is ∑n=1∞1lnn+n Let xn=lnn+n Now, for n≥1,  lnn<nn+lnn<2n12n<1n+lnn Let us…

Q: 00 (-1)"+1 Is En=1 convergent absolutely, non-absolutely, or diverges. n+8

A: Given series is ∑n=1∞-1n+1n+8 Absolute convergent test: If ∑an converges, then ∑an converges. Let…

Q: n+1 (-3)*1 3n n=1

A: Ratio test : Suppose we have a series ∑n=1∞ an then define  c=limn→∞ an+1an . If 0≤c<1 then the…

Q: Mark each statement True or False. Justify each answer. (a) If (sn) and (t„) are convergent…

A: Given:  (a) If sn and tn are convergent sequences with sn → s   ,  tn → t then limn→∞sn+tn=s+t and…

Q: determine whetheer the fene Conditionally (Convergent,abtolutely onvergent or dirergent a . n= 5…

A: We have to find whether the sequence is convergent or divergent and to know whether it is absolutely…

Q: For what values of r does the sequence {rn} converge? Diverge?

A: Concept used: The mathematical expression of infinite geometric series in general is written as…

Q: Determine whether> ()" diverges. If it converges, find the converges or sum.

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Q: 00 For which a does > n(In n)a converge? n=2

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Q: 00 Let r be a constant. Suppose ' converges to -1, then the sum of )r' is i-1 i-0

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Q: What number will A to converge to?

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Q: 5. Show that the following sequence Pa - n be before pn-p| ≤5 x 10-²? 1 2n converges linearly to p =…

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Q: Identify two subsequences of ((−1)^n + 1/n) which converge to different limits. You should include…

A: Let the given sequence is Sn=-1n+1n We have to find two subsequences of given sequence that converge…

Q: Q1. (a) Let A = {x €R : r3 + x < 1}. Show that the set A is bounded above. If a = sup A, then show…

A: We Shall answer first question only as per company guidelines. For others kindly post again by…

Q: Consider the sequence recursively defined by the rule sn = 2sn-1/n for n ≥ 1, with the initial value…

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Q: The multiplicity of -2 of the function P(x) = - x (- x - 2)?(x + 2) is: Select one: а. 2 b. 3 C. 4…

A: Note: you posted multiple question. As per our guidelines we are supposed to solve only one at a…

Q: Compute the first six terms of the sequence {a} X a1 a2 a3 II = 11 a4 25 a6 II = = {n}. (Round your…

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Q: What does Ek=1 converge to? Ak+11 k+12.

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Q: B) > n! (4x – 6)" is convergent for x = n=1

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Q: 00 n0 1 V7Y"

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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.