Express the following series as a function of r. a. Note: In the series above, a...

  

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Express the following series as a function of r. a. Note: In the series above, a is the index of the summation. If r is between -1 and 1 (e.g. r < 1 ), the infinite series has a closed form expression. p² = 1 +r+r² +²³² +.... = 23 Consider the following infinite series. z 1 20 = Hint for part(b): 20 Ir² = 1+r+p² +²³3 +... ²¹-2²-(2) dr Note that we can interchange the order of the summation and differentation if the series is convergent for some values of r. e.g. r < 1. Activat Go to Set if |r| < 1 Express the following series as a function of r. a. Note: In the series above, a is the index of the summation. If r is between -1 and 1 (e.g. r < 1 ), the infinite series has a closed form expression. p² = 1 +r+r² +²³² +.... = 23 Consider the following infinite series. z 1 20 = Hint for part(b): 20 Ir² = 1+r+p² +²³3 +... ²¹-2²-(2) dr Note that we can interchange the order of the summation and differentation if the series is convergent for some values of r. e.g. r < 1. Activat Go to Set if |r| < 1

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X Solution Given 18r tr3 r X0 For x 5 a X 3 50 ... View the full answer