40. (a) Starting with the geometric series Σπ–0 x", find the sum of the series Σ Σ n.xt-1 |x|<1 (b) Find the sum of each of the following series. (ii) Σ Σ (i) Σ nx", |x|<1 n-1 2"

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A: Given:The integral is,

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A:

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A:

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A:

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A:

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A:

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A:

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A:

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