Include a Check for Convergence at the Endpoints of the series

question 136

Multiple Choice

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

• A) \(( - \infty , 4 )\)
• B) \([ - 4,4 ]\)
• C) \([ - 3,3 ]\)
• D) \(( 4 , \infty )\)
• E) \(( - \infty , \infty )\)

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