22) Defermine oue tuer tue serieg ntl (-1) conditHonelly Σ conneryes n=1 or obsolutely. or alinery y, ong wery a) Direrges b) Convergey Conditionally g Convergey absolutety Diverges 12/13 画

Q: dx 1 converges or diverges, it would be useful to compare the integrand to To determine if a2 + Va…

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Q: Find the converges or diverges.

A: Here I attached the detailed explanation to the questionExplanation:Solution:

Q: how that fuGe)= x" (1-x") converges bintwise # se G, 1]. Is fn G) Thyenges %3D uni formly?

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Q: Find the radius of convergence and interval of convergence of  Σ 2 to infinity ((x+2)^n)/(2^n)(ln n)

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Q: Theorem 64. Let {pk}1 converge to point If y # x, then {pk}1 does not converge to y. x.

A: Given that sequence pkk=1∞ converges to point x.

Q: using divergence of Specifie Convergence or 5n3 やこ1

A: Limit form comparison test:-  let ∑n=1∞Un  and ∑n=1∞Vnbe two series of positive termssuch that…

Q: 00 Se*dx Find

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Q: Determine i absolutely conergent, condifionelly oliverpent. (Do not use the followige serres i's…

A: Don't worry, we will make use of the Comparison test. If the sum of |a[n]| converges, then the sum…

Q: Tim anti A absolutely converget Ionditionalt convgent divergent. cannot be de fer mihed lim an…

A: q1. option (c) is correct. q2. option (a)  is correct.

Q: Suppose that X₁, X2, ka)=P(X = _k) =1/2. Let Yn = Xn = n 2 Xi. are independent, such that, for each…

A: Chebyshev's Inequality Chebyshev's inequality guarantees that for a large class of probability…

Q: (-1)"f" cost =1--+ 4! 2 (2n)! In(1+t) =t-+ 3 -.+(-1)*-"4 +... n Yukarıda verilen cost ve In(1+x)'in…

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Q: Investigate the convergence of: (-1)" (a) 'n + \z|' (b) E (d) n² + \z]' (c) 'n + |z|'

A: Our guidelines we are supposed to answer only first three subparts. Kindly repost other subpart as…

Q: Using the definition of uniformly convergence, determine if the or not uniformly in the interval:…

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Q: Suppose that X has a geometric distribution with parameter p ∈(0,1) (see formula (3.17) on page 129…

A: Sol:- (a) The probability that X is less than or equal to n is given by: P(X ≤ n) = ∑k=1nP(X = k) =…

Q: Convergent or divergent E • In

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Q: Let pn = 5(6^n) + n^7/6^n. Show that, as n → ∞, {pn} converges to 5 linearly with rate 1/6.

A: Given that pn=5×6n+n76nTo showlimn→∞pn=5and rate of convergence=16

Q: 14) Test the secies for convergane divergence or 2. (-1)"

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Q: Exomples Porfrm 2 Thera trons of a a convergent fixed pornt methad to approximate the root of the…

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Q: Is the fo llowing mtegral conuergent or divergent ?

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Q: Question The below figure represents a graph of the function f on the interval |-,n). The iterations…

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Q: {Eny= n2 tin3 T-M

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: Nap Lajoie has a lifetime batting average of 0.338. Assume that Nap Lajoie came to bat officially…

A: Given : Nap Lajoie has a lifetime batting average of 0.338 and came to bat officially six times…

Q: SOLVE BY LINEAR METHOD - y'- 3 X Y = x 3 cos (x)

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Q: +∞ W k=1 - k 7/4 x Ink 2 K²

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Q: з Σ (-1)^ hai боu итиеть n ди

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Q: E nien or Converger diverger nte

A: Please check step 2 for the solution.!

Q: (0) If lan diverges and (an Converges, n=1 (a) An Converges absolutely. n=D1 (b) Y An Converges…

A: We will get the conclusion by using the definition of a conditionally Convergent Series.  Option (b)…

Q: αn = 2^n + 3 · 5^n / 4^n + 5^n  where  n = 1, 2, . . . . Show that {αn} con

A: Convergence of a sequence: Let an is a sequence and limit n→∞ of the function an is limn→∞an=p. Then…

Q: 15.) Suppose that a (x-2) converges when x=-3, then what is the smallest possible interval of k=0…

A: The answer is :

Q: 3 (k+ 3)! Evaluate Σ given that k=0 n=0 1 n! || e

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Q: 17 Tncn) Coc+3)^ n:1 (() (n) Find Jadius and interuall oc 17terval Convergence.

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Q: I En=1 an converges then 2a, converges.

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Q: (-10) " lon a. Center of convergence b. Radrus of convergence C. interval of convergence {- (x-5)

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Q: Q1. Test the convergence and diver (2+5" 2. En=1 (2n)= n!n! 1. Σ-0 Inn 6. Ln=1 (comparison test) 7.

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: 3. a) Prove that E[A"(x)l H,] = E[A®™'(x)| H.]. where El·T:] represents a conditional expectation…

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