21.) Converge or diverge? Explain. En=1 3n - п!

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

A: Given: Conditions of Fourier series is convergent.

Q: the Po lowing for being Test series Convergenl- divergent or (4n-5)" (오nti)^ Cos W W:

A:

Q: 1 Converges / Diverges Test Used: 4/n +5Vn n=1

A: Please see the explanation below

Q: nln(n) Explain why En=1 (n+1)* converges.

A: Use comparison test first At large n, (n+1)≈n So the given expression is equivalent to nlnnn3≈lnnn2…

Q: If gan converges and Σbn diverges, can anything be said about their term-by-term sum Σ(an + bn)?…

A:

Q: Study the convergence of the series

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Q: 6) Find: a- hadius of Convergence 6-Interval of Convergence 6ー(メー2) 3n. Jn+5

A: The given series is: ∑n=0∞ (-1)n(x-2)n3nn+5

Q: Determine if the Series 2 (2n-1)! e n! (nai)! 2/u- diverge Converge or nel using Ratio test

A:

Q: 27 81 2) 16 – 12 + 9 – + 4 16 243 + 64 - - -

A: Given the series: 16-12+9-274+8116-24364+............ To check if the given series is convergent or…

Q: Which converge and diverge?

A: In this question, we have given four multivariable functions. for each of them, we have to check the…

Q: (-1)" converges conditionally. Inn Show that n=2

A: For the solution follow the next step.

Q: Žeen Converges. use the test. iniegral. diverges. to Show whelher or Make Sule to Show that…

A:

Q: 2n + 5 9n + 4 n=1

A:

Q: check if the fixed point itteration converge or diverge for  (6/x-5) in interval [4,5

A: f(x) = (6/x-5)

Q: 5) Determine convergence or divergence using any method covered so far (up to section 10.5.) Justify…

A:

Q: 3. Ση-1 -1/m By the e n2 series test:

A: We will solve this problem by Abel's test for series

Q: 00 The series 47 Diverges Converges to -1/2 Converges to 4 Converges to 1/2 DO REDMI NOTE 9 PRO ges…

A: To find whether the series converges or diverges

Q: 5) Determine convergence or divergence using any method covered so far (up to section 10.5.) Justify…

A: Ok

Q: Converge or diverge with what test?

A:

Q: 5) Determine convergence or divergence using any method covered so far (up to section 10.5.) Justify…

A: Here we have to determine the given series whether convergence or divergence.

Q: If an| converges then diverges because for large n. Vn n=1 True False Reset Selection

A:

Q: > The sequence {sin)} is n31 (i) Converge (ii) Diverge

A:

Q: 6" Using the ratio test, determine if converges or diverges (n + 1)"

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Q: 00 1 The series (21/n 41/(n+1) Converges to 4 Converges to 1/2 Diverges Converges to -1/2 REDMI NOTE…

A:

Q: 17. Explain why the series Eo converges. Which con- vergence tests could be used to prove this?

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Q: Using Sandwich Theorem, the sequence 2 1. an = 4 sin? 3 %3D n + 1 converges to 0 converges to 2…

A:

Q: Suppose that p(r) = ana" converges on (-1, 1], find the interval of convergence of p(6æ - 3) n=0…

A: Recall:   A power series ( centered at 0) is a series of the form…

Q: (-1)" (2n)! 27 En=1

A: The series is given by ∑n=1∞-1n2n!2n To determine: The convergence of the series using Series Ratio…

Q: 5. Apply methods discussed to determine if the series converges or your conclusion. diverges.…

A:

Q: 1 1+ 2/2' 3/38 1 1 + 1 + ... 5/5 +

A:

Q: + 4* 2) What does converge to?

A:

Q: Show two directly, using Yatio test a that there Solutions Series of values Converges Canverges for

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Q: dr converge or diverge? Explain your ansver.

A: Solve in general method

Q: Converges absolutely Burame

A:

Q: (#3) Determine if an converges or diverges. If it converges then what (n+1, does it converge to?

A:

Q: 0. Tind convergemce of unge Ceries

A: To find The region of convergence for the given series.

Q: Determine if the series converges. If it converges find the limit. (In n)2 an

A: Series integral test:   The series ∑nan is converges if the integral ∫n f(n) dn converges and…

Q: n+ 7) ) Σ n2 n=1

A:

Q: Determine the rate of convergence of the sequence an = sin (12) as n 0o. 2 37n 2 n2 1 O A. O(1/n^3)…

A: Given the sequence is αn=sin23n+2n2-1. Find the rate of convergence of the sequence.

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

A:

Q: Go ntl

A: Recall: Cauchy Root Test:       suppose ∑an be a series of positive terms such that…

Q: test the convergehce and clivergence 2'coscnt)

A:

Q: determine convergence by intergral test   sum from 2 to the infinity of 1/n（ln n）^5/4

A: We have given the series

Q: 8. 3n2 -n 6n2 + 7 n=1

A:

Q: Show that Seauence Converse is not tade in gehQlali every Convergent is čauchy But

A: We need to prove that every Convergent sequence is Cauchy but the converse is not true

Q: fla converges then converges. Select one: True False

A:

Q: If {an} converges and {bn} diverges, then {an + bn} converges. Is this ture or false. Please show…

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Q: F0 (-1)" Ln=1 By the 5n+1 series test:

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.