Suppose that > an(x+9)" converges at a = 13. At which of the following values of x must the series n=1 also converge?

Q: What is the largest value of x for which the series (x - 8)" n 4 is absolutely convergent? Answer:

A: FOLLOW NEXT STEP

Q: (-1)"(х + 3)" n2n n=1

A: We have to find

Q: Find the interval of convergence of the series. 7x" Σ n = 1

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Q: Write the given function as a power series and give the interval of convergence. a.) f(x) = 3x²…

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Q: In the given equation as follows , find the interval of convergenceof the power series. (Be sure to…

A: Let ∑n=1∞an=∑n=1∞-1n+1xn6n We will use ratio test'…

Q: B/ Find the values of x that make the series (x+3)-1 convergent

A: Power Series: A series of the form  ∑n=1∞anxn=a0+a1x+a2x2+... where a0, a1, a2, ..., etc. are…

Q: How many terms of the convergent series E=41/(n(In n)) should be used to estimate its value with…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 00 (-7)" n2 n = 1…

A: RATIO TEST FOR SERIES: Let ∑n=1∞an be an positive term series and limn→∞an+1an = L ,           (i)…

Q: Suppose the series > Cn(x-5)" converges when x = 7 and diverges when x = -5. Determine n=0 che…

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Q: (-1)"(х + 3)" Σ n2n n=1

A: Topic:- convergence of a series

Q: Find all numbers x such that the series n=1 converges!

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Q: If a geometric series converges to a / (1-r) if |r| < 1, the interval of convergence is

A: If a geometric series converges to a1-r ,  if |r|&lt;1 { Given }

Q: Use the Comparison Test to determine whether the infinite series is convergent. sin (k) k5 k = 2

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Q: What is the interval of convergence of the series >: (-1)" 3" x" ? In n=1

A: We have to solve

Q: Write the given function as a power series and give the interval of convergence. x b.) f(x) = 5x

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Q: assume that |an+1/an| converges to ρ = 1/3 . What can you say about the convergence of the given…

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Q: What is the largest value of x for which the series (x – 11)" - n°5" n=1 is absolutely convergent?

A: This is a problem of series and sum calculation. Based on the formula and concept we will answer the…

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

A: The given problem is to find the limit of n goes to infinity of the power series of the function…

Q: Prove the absolute value of this series converges.

A: Given series :

Q: the root test fails to determine if the series (1+) n=1 converges or diverges Select one: O True…

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Q: In (5–x)

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Q: In  the given question as follows , find the sum of the convergent series by using a well-known…

A: Find the sum of the convergent series by using a well-known function.              ∑n=0∞-1n12n+1

Q: Suppose that the power series (2x-5)" converges conditionally when x = 5.5. What is its radius of…

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Q: Find the values of x for which the series converges.

A: Given information: ∑n=0∞x-35n The series is converges

Q: s of x for which the series converges. 87 n=1 < x <

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Q: Find an easy expression for the sum of the series on its interval of convergence. (-1)"-'n -x" 2"…

A: Given series is ∑n=1∞-1n-1n2nxn

Q: Suppose that the power series ) Cn(x – 1)" converges when x = -2 and diverges when n=0 x = 6. (a)…

A: The power series ∑n=0∞cnx-1n converges when x = -2 and diverges when x = 6. We have to find the…

Q: The series 1(-1)" converges to 0. True False

A: We have to find if the given series is converges.

Q: The series C,(x +3)" converges at æ = 2 and diverges at æ = -12. Based on this information, what can…

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Q: (-1)*(x +3)* Ek=0

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Q: Show that the series n' (2n)! is convergent. Deduce that lim (2n)! n=1

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Q: Estimate the value of the following convergent series with an absolute error less than 103. 00 5(-…

A: For the solution follow the next step.

Q: f (x) = 1 3-x

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Q: Use suitable test to determine whether the following series is convergent +00 e" sin(n!) n!

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Q: Find the sum of the convergent series. Σ (--)" n = 0

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Q: The interval of convergent for the series (-1)*x* is: 4kk (a)[-4,4] (b)(-4,4] (c) [-4, 4) (d)(-4,4)…

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Q: Find the values of p for which the series converges. (Enter your answer using interval notation. n =…

A: The objective here is to find the condition on p for which the given series will be convergent.…

Q: Find the values of p for which the series converges. In n n= Answer (in interval notation):

A: Explanation of the answer is as follows

Q: 7. f(x) = 유 1+x

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

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

A: Given that ∑n=0∞an(x-1)n  The series converges for x=3. The series diverges for x=-4. (a) At x=0,…

Q: 3. Suppose that the following alternating series converges. (-1)" n2" Determine the number values…

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Q: Use the Integral Test to show that the series Σε. n=0 converges.

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Q: Find the values of x for which the series -п(1-т) converges. Find the function to which it…

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Q: What is the largest value of x for which the series (x- 3)" n°87 is absolutely convergent? Yanıt:

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Q: Use the fact that 1-x Ex* for -1<x<1, to find a series representation for each k=0 of the following…

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Q: Find the sum of the series for the values of x, for when the series converges.

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Q: If Ea,x" converges on the interval [- 10,10], where does the series a, (2x - 2)" converge?

A: The Series converges on [-4,6].

Q: Use any method to determine if the series (Зп)! (n!)³ n=1 converges or diverges. Show your work.

A: To find the Converges or Diverges of the given series.

Q: Suppose that Cnxn converges when x = -4 and diverges when x = 6. What can be said about the…

A: The posted question has multi parts. But according to guidelines we will solve the first three…

Q: If a power series in (x – 4) converges when x = 11, then it must also converge when x = -2. |

A:

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.