ar (3) Let a denote a real number. Find the value(s) of a such that dr converges to e. If no such a exists, explain why. You may use your work from part 2.

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Q: absolute convergence En=1 (1)"

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Q: 21-3 -da it converges find this value

A: I have given the answer in the next step. Hope you understand that

Q: Jlgu (-1)" +1 Σ (3x)" What are all of the values of x ,such that 00 converges? n=1 x>02 C) x>3.3 O

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Q: 3. Consider the function g(x) 2 (a) Find the fixed points of g. (b) Use the first derivative test to…

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Q: ivergent or divergent. If it is convergent, find its sum. (If the quantity diverges, enter…

A: Given query is to find series converges or diverges.

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Q: 11.) -1 n=1

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Q: Find the radius of convergen

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Q: check if the fixed point itteration converge or diverge for  (x^3/3)+4 in interval [4,5]

A: f(x) = (x^3/3)+4

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A: We have to check convergence

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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: QUICK CHECK 5 Explain why E 0.24 k=0 converges and why E 2* diverges. k=0

A: Given- ∑k=0∞0.2k and ∑k=0∞2k To explain- why ∑k=0∞0.2k  converges and why ∑k=0∞2k diverges. Concept…

Q: 8) The point p = 2 is a fixed point of the function g(x) =; + find the order of convergence of the…

A: Condition for order of convergence of fixed point iteration= >g'(X)<1

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Q: 17. Divergent or convergent? If convergent, show the lim n3 + 2 an 2n3 + 1

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Q: Convergent or Divesgent? andi+ (-5)^ 22n ンO

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Q: ∑ ∞ n=1 sin(1/2n) − sin (1/2n + 1). Does this converge or diverge? I believe it diverges by direct…

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Q: State whether the following statement is true or false. Explain your answer. (a) If Ea, converges,…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 8) The point p = 2 is a fixed point of the function g(x) = find the order of convergence of the…

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Q: Consider an earnings equation (wage, dollars per hour) consisting of a gender dummy Bo + (female 1),…

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Q: etermine whether the serres Converges 12 Live age or duer 1- onditionally absoutely 3ntl

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Q: 00 +8 dx converges. Perform a test to determine if - 00 x° +8 Does dx converge or diverge? .9 1…

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Q: 7. L. 1 dx 3 - 4x

A: Here we have, I=∫-∞013-4xdx

Q: n-5 n+2

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Q: n - 1 converges absolutely because lim - 2 (n – 1) R=1 True O False Reset Selection

A: Consider the given series.

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A: Given series is ∑n=1∞(2x+3)n2n2+n-1

Q: 22. 2 n-1 T

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Q: termine whether the following is convergent or

A: Please refer to the image below

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Q: Example of a function that is dot convergent but not uniformly convergent

A: To find: Examples of a function that is dot convergent but not uniformly convergent.

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Q: 2n Let an = 3n +1° (a) Determine whether {a„} is convergent. (b) Determine whether a, is convergent.

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Q: What are the Ratio and Root Tests? Do they always give you the information you need to determine…

A: A mathematical series can be convergent or divergent subject to certain conditions. Ratio test and…

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: .(글) + (글)' + (글)' + (글)' + (글)' +…. 3 5 (3) 1 + 2 Convergent, and the value Check one. Divergent.

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Q: an +1 Suppose that → 1 as n → o. Find the radius of An convergence. E an(– 4)"x2n - n=1

A: Suppose that an+1an→1 as n→∞. We have to find the radius of convergence.…