Question: (a) Using d'Alembert's Ratio Test, determine convergence or divergence of the following series: (n + 1)1000 (n 1)! n=1 (7 Marks) (b) Using Cauchy's

(a) Using d'Alembert's Ratio Test, determine convergence or divergence of the following

(a) Using d'Alembert's Ratio Test, determine convergence or divergence of the following series: (n + 1)1000 (n 1)! n=1 (7 Marks) (b) Using Cauchy's Root Test, determine convergence or divergence of the following series: -5n + 8n3 4n3 + 10 n=1 (7 Marks) (c) Using Leibniz's Alternating Series Test, determine convergence or divergence of the following series: log10 n (-e)" n=1

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