Part II: Determine if the following series are convergent or divergent. You should use each of the integral test, the limit comparison test, and the comparison test exactly once. 1 1 (k!)2 (iii) k2 k=1 k2 – 2k k=1 (2k)! k=1 (Hint: The series E * may be useful.) k=1 2k IM:

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Q: 5. For this problem, you have to read and study the textbook pages 762- 763 about The Limit…

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A: Whether the power series F(x) converges or diverges for x = –5

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A: First simplify as shown below.

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Q: 25.) The p-series (a) diverges if ps1 (b) diverges ifp1 (e) None of these

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Q: k! (ii) ek k=1

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: 11. Series k=1 For each of the following sequences {a}, decide wether the series Σak is convergent…

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