1 Σ If E-1a, and E= b, are convergent series of nonnegative numbers, can anything be said about E-1a,b,? Give reasons for your answer.

Q: Question The following geometric series (-1)"+1 57 n=1

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Q: 21. Find the sum of the convergent series. а. 16 b. 8 с. 12 d. 4 е. 3

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Q: 10. Find the value of x for which the given geometric series converges. Also, find the sum of the…

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Q: s2(!)" : 25. 3" +3-n so the series converges.

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Q: 00 (-1)** The interval of convergent for the series is: 3kk (a)[-3,3] (b)(-3,3] (c) [-3,3)

A: The given question is taken from the calculus in which we have to find the interval of the…

Q: 1. Test the convergence of the following geometric series (a) E-1 ) (b) E1)

A: Explanation of the answer is as follows

Q: (-1)* 15. We want to determine how many terms of the convergent series must k= 7k –1 be summed to be…

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Q: Evaluate the geometric series or state that it diverges.

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Q: 4) Find the sum of the convergent geometric series: = (2n+ 2n=0 3n-1

A: We have to find the sum of the given convergent series

Q: 00 The infinite series > (-1)* is convergent. k=1 O True O False

A: From the ratio test, If L < 1, then the series ∑k=1∞an converges If L > 1, then the series…

Q: 4 Σ 9n2 + 3n – 2 n = 1

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Q: (-1)"n Σ n6 +2 The series is conditionally convergent by the Alternating Series Test. n = 0 True…

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Q: 00 8n + 3 2(- 1) "-1. n2+3 n=1 a) Determine whether or not the series is absolutely convergent. b)…

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Q: 1 The series k=1 10n converges. True False

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Q: * (- 1)" Write out the first four terms out of the series 2. Find the series' sum if the series…

A: The given series is: ∑n=0∞-1n6n To find the first four terms of the given series, substitute n=0, 1,…

Q: 5. Consider the geometric series (3x )" , determine for what values of x does the series n=0…

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Q: 1 * The infinite series >(-1)* is convergent. k=1 a) true b) false a

A: In the given question as we put value of K from 1,2,3 upto infinte and add them than continuosouly…

Q: 1. Say whether the series converges or diverges and explain why. 1 ( a) Ση-1 n2 -4n+5 Inn (b) En=1…

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Q: Question 14 3 ke-k? Determine whether the series >. 4 converges or diverges. а) cannot be determined…

A: Solution

Q: -n 5n² – 2n + 1 00 - Determine whether the series converges or diverges. Show all your work. Зп? + п…

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Q: (-1)-*0 10 k! 下い一 18

A: The given series is converges absolutely . We  will verify it by Ratio test.

Q: - 1)" What is the series' sum? Write out the first few terms of the series 2 n=0

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Q: 9. If the series 3 converges, then r=1 A k> -1 B k>0 C k> 2 D k> 3

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Q: > 9( – 1.2)* is an alternating geometric series, which convergesO diverges. k=0 E 9( – 1.2)* = k=0…

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Q: (-1)" (n + 1) Deteremine if the series is absolutely convergent or conditionaly convergent.. n3 +1

A: Given series is ∑n=1∞-1nn+1n3 + 1

Q: (-1)"(n+ 1)" Does the series converge absolutely, converge conditionally, or diverge? (2n)" n=1

A: We have to check convergence of given series.

Q: n! The series i (n+1)" is convergent.

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Q: ques8 provde hand written answer plz

A: The given series is ∑n=0∞-1n+13+n1/4.

Q: ) True of False: If the geometric sequence {cr"}n2o (c + 0,r # 0) converges, ther 8. the associated…

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Q: (- 1)" Vrite out the first few terms of the series 2 4" n=0 What is the series' sum?

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Q: -1)" 20 Determine whether the series Σ is conditionally convergent, absolutely conver- n³ + 37 n=1…

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Q: 20 :Q19 If the series (-1)"a, is convergent and the seies a, is convergent then we said the series…

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Q: Find the value of 7x²e-3 Determine whether ) (7n’e- ) n=1 Enter C if series is convergent, D if…

A: Let's find.

Q: k 5( – 1.2)“ is an alternating geometric series, which O divergesO converges. - k=0 E 5( – 1.2)* -…

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Q: 4. The pattern of a sequence of functions is given by ao (x) = e-=? 0g (3) = / (S-~* de) d %3D dx )…

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Q: Is it true that if E=1a, is a divergent series of positive numbers, then there is also a divergent…

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Q: (-1)" + 1 n=1 (n³)(2") The series 2 is a convergent series. a. Approximate the sum of this series…

A: First calculate sum of first four term and find error by using actual sum of series

Q: 9. Consider the series ((a +5)/7 is the exponent of n.) For which values of a does this n(a+5)/*…

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Q: (-1)" 5?n+1 23n+2 Determine whether the series converges absolutely, converges conditionally or…

A: The answer is stated below

Q: 9. If the series ) 3 converges, then A k> -1 B k>0 C k> 2 D k> 3

A: We need to find all the possible values of k for which the given series converges.

Q: (- 1)"+(n+2) 1. Determine if the series Σ converges absolutely, converges conditionally, or…

A: here we have use the alternating series test if the series  is positive and monotone decreasing…

Q: 7. Find the value of p for which the series >(-3)*(p – 5)" is convergent. n=1

A: This series will be convergent  if the  common  ration "r" will be less than 1.

Q: (x+7)" X if the given power series is convergent n=2 2" n – 1 at x = - 9, is it conditional or…

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Q: 12( – 1.3)* is an alternating geometric series, which O convergesO diverges. k=0

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Q: Which series converge, and which diverge? Give reasons for your answers. If a series converges, find…

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Q: 4n²+5 + 2 n3 4. an 3. a, = %3D Vn3+1 5. What is the difference between a sequence and a series? 6.…

A: We have to solve given problems:

Q: 8. 8. 1. Let an, b, and en be convergent series with a · A, b, = B and n = C %3D n=1 n=1 where A, B…

A: In the question we have to evaluate the value of function.

Q: 1 4. Does the series 72)" converge? n=1

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Q: 1 2" 3" 1 Find the sum of the convergent series. n-4

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Q: а"(х — с)" 2in+ 1)2" n=0

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