Suppose that anx" converges for x = 5. Must it also converge for x = 4? What about x = -3?

Q: converges to 0 Select one: True False

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Q: oblem 3. Use the integral test to determine whether Y converges or diverges.

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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…

Q: find the interval of convergence.

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Q: 8. Determine by the ratio test if 2n=1 (2n)! converges or diverges.

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Q: Show that the interval of convergence is (-o, +00).

A: The given question is related with interval of convergence. Given that fx = ex. We have to show that…

Q: n+1 (-3)*1 3n n=1

A: Ratio test : Suppose we have a series ∑n=1∞ an then define  c=limn→∞ an+1an . If 0≤c<1 then the…

Q: 00 Show that converges if [r| < 1. п: п

A: The given series is

Q: What are all of the values of x ,such that Σ (3x)" (-1)"+ 00 converges? n=1

A: To solve this question we shall use root test for series.

Q: Find the interval of convergence of Σ 6" (2n + 1)!

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

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

Q: Use the root test to find the radius of convergence for: xn nn n=1

A: Given series is ∑n=1∞xnnn   To Use: The root test in order to find radius of convergence of given…

Q: Are there value of fer which omy ĭ he converges.

A: A  series is said to be convergent if ad only if the sequence of partial sums of the series…

Q: Find the interval of convergence : En-0 (x-3)"

A: Apply ratio test to find the interval of convergence. When L&lt;1 then series converges and When…

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: Apply the Roio Test OR diver GeNT. CONverGe NT 8. 5h

A: Given query is to find series converges or diverges using ratio test.

Q: Find the interval and radius of convergence. (Зх — 4)" (-1)" (2n + 1) n=0

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Q: (x+3) " is: The radius of convergence of n=1

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

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

A: Topic:- application of integration

Q: Find the radius of convergence for: (-1)"x" √n +7 n=1

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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: 59. Show that 1- sin x dx converges. x? 00

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Q: Find the intervel of tuis function (x-4)" of Convergence n

A: We have to find the interval of convergence of ∑n=1∞ (x-4)nn.

Q: Find the interval of convergence of ) n°x" and find its sum. n=1

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Q: The interval of converge Use your own wo each step) that yo

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Q: Use the Limit Comparison Test to determine whether converges or diverges. Vnvn +1 n=1

A: we have to test whether the given series is convergent or divergent by limit comparison test

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

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Q: Find center, the radius of convergence and interval of convergence for (-1)k+1 (x – 2)* Σ k k=1

A: The radius of convergence is half of the length of the interval of convergence. If the radius of…

Q: The value of the radius of convergence (R) for the function f(x) = In(5- x) will be

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Q: The radius of convergence (2n + 3)! (x- 1)" is | None of these infinity

A: Given ∑n=0∞(2n+3)! (x-1)n Compare it with ∑n=0∞ an(x-x0)n Then an = (2n+3)!an+1 = (2(n+1)+3)! =…

Q: 9. Use the Comparison Test to test for convergence. dx 1 x

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Q: 10. (x- 3)" Ln=1 n

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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: . Use the inegral test to show that =1 converges. 1+n2

A: To solve this question first we check derivative of function is negative for n&gt;0 and then we show…

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

A: The given series is,  ∑n=1∞n!23n2n!xn To find its interval of convergence.

Q: How many terms of the convergent series E1 (1/n'.1) should be used to estimate its value with error…

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Q: Find the interval of convergence for 3x+1 Σn(n+1)*

A: Given series is ∑n=1∞3nxn+1n(n+1)

Q: Prove that or 「+ X。- ズー 2. 71 number J2 Converged to

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Q: Find the interval of convergence of (3x)^n/(2n)!

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Q: The interval of convergence of (-b)" x"*1 where b > 0; is n+1

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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…

Q: Suppose that p(x)=an" converges on (-1, 1], find the interval of convergen n=0 8 left end included…

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

A: Given ∑1n3

Q: 8) FIND THE INTERVAL OF CONVERGENCE FOR Σ (-1)" x 1=2 n2^ n

A: The given series: ∑n=2∞-1nxnn2nWe need to find the interval of convergence.

Q: Use comparison test to show that the series E=1 (2) converges. 5n2-п.

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Q: If 2 Cnx" is convergent when x=2 and divergent when x--3, then 2 c,5" n = 0 is n= 0 divergent. O…

A: this is inconclusive because if it converges for x=2 than  converges only the values less than 2 but…

Q: Find the first 4 non-zero terms of (1+3x)^(1/4) centered at x=0. what is the radius of the…

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Q: Find the radius of convergence and the interval of convergence. 2* k=0

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