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Q: For each of the following series, use the sequence of partial sums to determine whether the series…

A: Given that the second term as s2=13+24     >13+13     =23 Explain how to get 13 in the second…

Q: Consider the series n=1 (a) Find the 10th partial sum of the series. (b) Find an upper and lower…

A: Let us consider an alternative series ∑n=1∞-1nan, then the sum of nth partial sum is given as…

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A: We have to find the term

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A: According to question given that∑n=1∞(-10)n-114n

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Q: If the series (-1)"an is convergent and the seies a, is convergent then n=1 2-1 00 we said the…

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Q: Given the series E(-2^)/(3k+5) k =1 Let S, be the sequence of partial sums. Find Sn+2-Sn for n = 10…

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Q: 10

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Q: (c) - 2 + /2" – 1/2" + (1/2)³ _ (1/2)* (-1)"(1/2)"+1 (n+1) +...+ +.. 3 4

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Q: Give an example of a sequence (an) and (bn) such that (an) and (bn)  diverges and (anbn) converges.…

A: Consider two sequences (an) and (bn) which are,

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

Q: 43. (-1)"ne 2n 8.

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Q: Σ (-1)"(x+ 4)" Find the interval of convergence of the power series

A: We have to find the interval of convergence of the power series…

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Q: First four partial sums of the series, then find the limit as n approaches infinity if the sequence…

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Q: (-1)"-1 3n4 n=1

A: Given series, ∑n=1∞-1n-13n4 a) To find the convergence of the series.

Q: 4. (a) How many terms of the given alternating series do we need to add in order l0 Imu correct to 5…

A: