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Algebra
Question

Use the root test to test the following series fo...

Use the root test to test the following series for convergence: \(\sum _ { n = 1 } ^ { \infty } ( \frac { n } { n + 1 } ) ^ { n ^ { 2 } }\)

Answer

\(\text { converges, } a _ { n } ^ { 1 / n } \rightarrow ( 1 / e ) < 1\)

Solution
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