Consider the power series 80 an (x – 6)" n=1 of variable x and with (a some sequence. If it is known that this series is divergent for x= 21 and convergent for x = -6, it can be assured with certainty that the series: a) converges for x = 18 b) diverges for x = 20 c) converges for x = 17 d) diverges for x = -9

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Q: Determine whether the series converges or diverges tan-1n (a) En=1' (b) En=1° n(1+) (c ) Ση-1 n1.2

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A: Apply series ratio test and find whether the series is converges or not.

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Q: 1. Does the series (-1)"en? sin?n converge absolutely, conditionally, or diverge? Use Root Test to…

A: Note: Our guidelines we are supposed to answer only one question. Kindly repost other question as…

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Q: 1. Determine if the following numeric series converges absolutely, converges conditionally, or…

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Q: Determine whether the series +∞o 1 Σκος (7) - co ¹ ( ² ) - COS ¹ (2 + ₁)] \n n=1 converges or…

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Q: 4) Determine whether the series converges absolutely, conditionally, or not at all (Justify your…

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A: This is a problem related to series and sum calculation. Please find the procedure given below.

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Q: Use an appropriate series in (2) in Section 6.1 to find the Maclaurin series of the given function.…

A: Use the formula of Maclaurin series to find the expansion of 1/(7+x).