Find the Interval of Convergence of the Power Series $$\sum _ { n = 0 } ^ { \infty } \frac { ( 3 x ) ^ { n } } { ( 4 n ) ! }$$

question 84

Multiple Choice

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the end points of the interval.) $$\sum _ { n = 0 } ^ { \infty } \frac { ( 3 x ) ^ { n } } { ( 4 n ) ! }$$

• A) \(\left[ \frac { - 1 } { 3 } , \frac { 1 } { 3 } \right)\)
• B) \([ - 1,1 )\)
• C) \(( - 1,1 )\)
• D) \(( - \infty , \infty )\)
• E) \(( - 3,3 )\)

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