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Q: |an also converges because 0 If an converges then < lan|, for n = 1, 2, ... n=1 n=1

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Q: The sequence P, = (0.5)3" is convergent to zero of order and asymptotic constant respectively:…

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Q: Σ 2n n? + 2n h= 1

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Q: The sequence {( an+2 )"}1 n=1 O diverges converges to Je3 converges to e None converges to Je?

A: the given sequence converges to

Q: nst. . Decide whether the fo lowing is convergent In the con ver or ०१en1 ९ase ८a्रlवnee ५e 6+1)4"+…

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Q: 20. Show that if E-1a, converges, then 1 + sin(a,) Σ n=1 converges.

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Q: N! 9) Show that converges/diverges

A: Use D Alembert ratio test

Q: 1 n=2 n(Inn)P -4

A: We need to find the value of p for which series convergent.

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: 00 dz Vr² + 11z + 19 00 I + 11 1³ + 11x² + 71 IP- 1

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Q: nd is it or diver Convergent (0.627 an %3D (3.15)"

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: a n+1) %3D 2n Ans. Converges, 6)

A: Since you have posted a multiple  question according to guildlines I will solve first (Q6) question…

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: Determine whether converges or diverges. If it converges, find the sum. Paragraph U - Ay + v ...…

A: The given series is ∑n=0∞eπn.

Q: Determine whether the seauerce converges or diverges. If it conve ges, find the 100 loon 100 an- +…

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Q: MEDI is a) converges to 2 b) converges to 2/2 c) converges to 23 d) diverges e) None of all

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Q: Determine whether the seauence converges ordiverges. If it coveges, find the loo+n00+Cnn) o n! + Sn…

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Q: b. b; = e* + ! 1 k

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Q: Determine whether sec(0)de converges and, if

A: Topic:- application of integration

Q: find the value it converges to

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Q: Determine i it convergcs or dverges. Evaloate if converges oo dv 2.

A: We have given,

Q: Determine if it converącs or dweraes. Evaloate if it converges 5 dw

A: We have to find convergence and divergence of integral .Integral is shown below:

Q: What are all of the values of x ,such that Σ.. (-1)" + 1 converges? (31)"

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Q: H) IM:

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Q: If an> 0 and Σ an converges, then Σ(-1)"an converges.

A: We have to check wheather it is true or not

Q: The radius of convergenE of 710 5.30 None.4 0

A: Option (2) is correct.

Q: Prove that 「+ X,- ズー 2. 71 ,nyo converged number J2 ヒo

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Q: Show hat he following a sen) lun vergıs for any p> e (-1)" Σ nニ」 for whar value) of p is it…

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

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Q: Determine whether the statement is true or false. If E c,8" is convergent, then E c,(-4)" is…

A: To determine whether the given statement is convergent

Q: Using the limit comparison test, determine whether this converges or diverges

A: Now we will solve it using limit comparison test.

Q: 00 Q5. Evaluate , e z dx if it converges.

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Q: Det er mine weather each ihtegrals is convergent on divergecnt. Evaluatetuat are conuer gent. 13

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Q: show : ΣΣ - a"d, (x - a)" | n=0 m=0 is convergent,

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Q: The sequence {x}=0, where xn (A) True (B) False 20 = is convergent. n!

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Q: Q. By c/2silon definition , check the convergenie of fallowing sequenies the =

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Q: Determine if the following converge or diverge. Explain your answer: 8.

A: Given: The following series: To find: The given series is convergent or divergent Concept Used: We…

Q: Mark each statement as True (T or false CE). NO. Justification is needed.Assume that Cnx" when X=5…

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Q: The Ratio Test can be used to determine whether O True O False converges.

A: Given ∑1n3

Q: an こレ しカ+ 0 then show that let converges. Converges

A: The given problem is related with the series convergence. Given that an≥0 , for all n∈ℕ .  Also,…

Q: ii. ) -3(n+1) -3n e n=1 If it converges, state the number that it converges to. If it diverges to,…

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Q: Determine whether the sequence Ve" + 3" converges or diverges. If it converges, find its limit. O 1…

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Q: 3D (2Vn +1)n

A: The given series is,∑n=1∞2n2+1n

Q: 1 + 3" 36. E 2" n=1

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Q: For values of 9, 6 70 to llowing integod is which Convergent? 2* (1+ x)

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Q: Suppose > anconverges to 8 and > b,n converges to 5. What does (Зап — 2b) сonverge n=1 n=1 to? n=1…

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Q: Q1/ Isthe sequcnce {a,} converge ? -(1 -4)"

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Q: If £a, converges and Eb, diverges, can anything be said about their term-by-term sum E(a, + b„)?…

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