00 4. Determine which test can be used to prove the divergence of the series Σ Зп —1: Circle all n=1 that apply. A) Limit Comparison Test B) p-Series Test C) Ratio Test D) nth-Term Test for Divergence E) None of these

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A: ∑n=1∞-1n4nn!7·12·17·....·5n+2 Here, an=-1n4nn!7·12·17·....·5n+2=4nn!7·12·17·....·5n+2 Now,…

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Q: ) Pick your favourite real power series o a,r". Show that for this series, the equivalence 00 Σ anx"…

A: c) Take an=1n!. Then the series ∑n=0∞anxn=∑n=0∞xnn! and ∑n=1∞nanxn-1=∑n=1∞xn-1n-1!. To show that it…

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