25.9 (a) Let 0 < a < 1. Show the series or converges uniformly on [-a, a] to 1-x (b) Does the series or converge uniformly on (−1, 1) to Explain. 1 1-x ?

Q: (-1)" Inn n Show that this series in convergent but not Problem 5. Consider the series n=1…

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Q: Consider the alternating series (-1)" by with 2n4 n4-7 1-4 a. Is the sequence (bn) increasing or…

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Q: Expand the function , in a power series anx" with center c = 0. Find a„x". 8+7x %3D n=0

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Q: 7 A = > B=E(-1}**1 n2 n=1 N + 4n+1> n=1 ,3

A: The series A is convergent. The series B is divergent.

Q: 3. Build a power series with the interval of convergence [-1, 9). (Note: There are many possible…

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Q: (-1)" + 1 a) Classify the series 2 n = 1 as either Absolutely Convergent or Conditionally…

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Q: For the series 1 1 1 + + 2 4 8 - - lim — It is clear that 1 + ... + 2" + :

A: Given series is a G.P. series having common ratio 1/2 and firts term 1/2.

Q: 00 4 etermine whether the alternating series 2 (- 1)". converges or diverges. 9 Inn n= 2 hoose the…

A: The given series is ∑n=2∞-1n49 ln n. We have to check whether given series is convergent or…

Q: If the series 1(-1)" 2 were approximated using its first k terms, what would be the smallest number…

A: We have to find the smallest number of k such that the error bound would guarantee an error of not…

Q: 2. Multi-Step Series E sin(n) n2 а. b. E sin(n) n=1 n² – 5 n=1 -

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: (-1)" Which of the following is true about the series n=0 3n + 1 (-1)" (a) It diverges because lim…

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Q: 00 4 converges if and only if the value of x is on the interval The series n2x+7 n=1 [ Select ] […

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