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Include a Check for Convergence at the Endpoints of the series

question 136

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 Find the interval of convergence of the power series n=0x3n+1(3n+1) !. (Be sure to \text { Find the interval of convergence of the power series } \sum _ { n = 0 } ^ { \infty } \frac { x ^ { 3 n + 1 } } { ( 3 n + 1 ) ! } \text {. (Be sure to } include a check for convergence at the endpoints of the interval.)


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