1. (10 points) Determine if the following series converges or diverges. If it converges, find its sum. Write your answer

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1. (10 points) Determine if the following series converges or diverges. If it converges, find its sum. Write your answer as a reduced fraction. 2k 5.7k+1 10k £² k=3

2. (30 points) Determine if the following series converge or diverge. Make sure you state which test you use to make your conclusion. 1 (k + 2)(k+3) 2 (2) Σ (b) (c) 246 + 4% 5 ln(k+1) kl. 2k (2k)! (10 points Use the Patio That

3. (10 points) Use the Ratio Test to determine all the values of t that will make the following series converge? A k=0 3.t2k-1 5k