8. Suppose ar > 0 and Does > ak converge or k diverge? Why? %3D

Q: Discuss the Conditions foo which Foudies Segies is convergent?

A: Given: Conditions of Fourier series is convergent.

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A: ∑k=1∞3k+4k5k

Q: 17.B. Can a sequence of discontinuous functions converge uniformly to a continuous function?

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: 6. Use e 6 delinition and prove that he soquence, baving general term converges to 3.

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Q: if Xn is bounded, is Xn  cauchy ?  is Xn convergent?

A: Solution

Q: State why the following intergral is improper and find the value if it is convergent: 2r (z² – 4) "

A: The given integral is I=∫262xx2-423dx The integral is improper as the integrand is unbounded at x=2.

Q: What is the limit as n goes to infinity of the power series (log n)2 ?

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A: Divergence test tests for divergence, not convergence.

Q: Which converge and diverge?

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Q: The sequence {()} Sn+3 Sn+1 n-1 converges to e converges fo te ConvCrges fe Ve Converges 00 Diverges

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Q: 2) is E=1 2n convergent?

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Q: Are there cmy value of fer which converges. n7

A: Given series is ∑n=1∞1nx. The above series can be written as 1x∑n=1∞1n.

Q: 8. 4+n2

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Q: The team meeting will be held in 3 days from the date of the assignment and because of the…

A: Please note that as per our guidelines I have answered. Please repost the remaining questions…

Q: of the given improper in tegrals convergent. are sinz da 1. ース? de

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Q: Σ Show that n2 + 1 converges/diverges n

A: The given series is: ∑n=1∞nn2+1 Let  an=nn2+1,n≥1    =nn21+1n2   =1n1+1n2 And, bn=1n

Q: Does E In n converge? n/2 n=1

A: We have to solve given problem:

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Q: +00 n! と+1 n=1

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Q: 1 7. Determine by the ratio test if n- converges or diverges. п! -

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Q: What is the difference between formulas of order of convergence O(hk) and these of o(hk)?

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Q: 1

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A: Consider the given information: The series ∑n=0∞Cnxn is convergent when x=2 and divergent when x=-3.…

Q: 2. Show that the radius of convergence of a standard binomial series (1 + x)a = Eo () (x)k is equal…

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Q: 1 x converges 1 ex - e-X Select one: True False

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Q: What is the convergency interval of (2n)l

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Q: 2. If Exn and E yn are convergent. Show that E(xn + Yn) is convergent.

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Q: Suppose that the series a,(x – 1)" converges for r = 3 and diverges for x = -4. (a) Does this power…

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Q: Are there cmy value g fer which converges.

A: Givens equence is, ∑n=1∞1nx We know that , the p-series ∑n=1∞1np=11p+12p+13p+....+1np+... Converges…

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A: To show that whether the given integral is convergent for p>1.

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Q: Is the Sertes ko convergend orcirergent Convergond.ordhrergent =1

A: