For each of the following series find the sum of the first N terms, and, by letting

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For each of the following series find the sum of the first N terms, and, by letting N → ∞, show that the infinite series converges and state its sum.

2 2 2 5-7 (a) 13 +  +  + ... (b)  +  +  +  +  2+... 1 (c) 1-2-3 + 2-3-4 +3.4.5 +...

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