Using the limit comparison test the appropriate bn that is used In(n) converges is: to make the series 0 n6 A) b„ = B) 1 n6 %3D C) bn %3D -1 D) b, = n2. %3D n. -11 E) bn = n 2, O A)

Q: a) Does f() -Σne" n=0 converge or diverge for r > 0? b) How do you know?

A: According to ratio test, if the limit L<1, then the series converges and if L>1, then the…

Q: The infinite sum Ea(n) A) S = a(n) has a finite limit B) none of these %3D converges if and only if

A: ∑n=1∞a(n) converges

Q: Determine the rate of convergence of the sequence an = sin( as n + 00. A. O(1/n) B. O(n) OC.…

A: given sequence an=sin2n+3n2-5  to find the rate of convergence of sequence as n→∞

Q: 11 E cos(Tk) : k=0

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Q: Find the interval of convergence of the power series: E (x- 3)"-1 (-1)" 72 a) (-1, 1] b) [2, 4] c)…

A: Use ratio test for checking the convergence

Q: Determine if the sequence converges or diverges. Briefly justify! When she converges provide her…

A: find the limit of given sequence at infinity.

Q: Q3) The sequence a, = 1 - (0.2)" a) converges to 0 b) diverges c) converges to e d) converges to 1

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Q: Q8) The series 7 + 10cosn n4 n =1 a) converges by comparison test b) converges to 0

A: NOTE-By bartleby rules, only first two question has been answered. As per given by the question,…

Q: SELECT (n!)? (2n)! .()* B) is similar to G A) converges C) is similar to )" D) diverges

A: We will use Ratio Test to determine convergency

Q: 2n2+3n c) Identify whether the series En=1 es is converges or diverges by the Limit 5+n5

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Q: SELECT ALI n! (2n – 1) A) converges by Divergence Test 2 B) a, = 1.3-5 ..... 2n C) diverges by…

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Q: (6n² + 1' Given the sequence prove that it is monotonic and bounded. Зп2 — 1 n=1

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Q: Let (fa). be a sequence of functions f : [0, 1] Rdefined by fa(z) = S2n²z +1 if z<! %3D Then 1. S.)…

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Q: nan = 2 ,nb, = 0. Determine whether the following converges or diverg or no conclusion can be made.…

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Q: xplain with the right test if they are convergent or divergent a) n=1 n+ 2n 1+ 3n Σ(n+2)! +2 n=1

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Q: 2) In a, = (1+-)" {a,}is convergent. show that the %3D n

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Q: vergent or Convergent? Identify using any test and state the test used n+2 %3D 2n+7 9n i) En=17…

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Q: Q3) determine whether the sequence convergent or divergent: 8 : { (in n / x 1) an = { sin 2n 1+√n .}…

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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: Define the sequence an by 1 ao 2' an = an-1 + (1- an-1)an-1 for n = 1,2,3,.. (a) Use induction to…

A: we have to find the value of the limit of given quetion

Q: {au, ) IL x y² dx dy Q4-A) Show that the sequence B) Evaluate : ah (sinn)}, +sinh( converges to (1).

A: Given