Find the Radius of Convergence Of $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { 2 n + 1 } } { ( 2 n + 1 ) ! }$

question 9

Multiple Choice

Find the radius of convergence of $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { 2 n + 1 } } { ( 2 n + 1 ) ! }$ .

• A)1
• B) \(\frac { 1 } { 2 }\)
• C)2
• D)0
• E) \(\infty\)
• F) \(\frac { 1 } { 4 }\)
• G)4
• H)8

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