Find the Radius of Convergence Of $\sum _ { n = 0 } ^ { \infty } \frac { n ! } { 4 ^ { n } } ( x + 3 ) ^ { n }$

question 43

Multiple Choice

Find the radius of convergence of $\sum _ { n = 0 } ^ { \infty } \frac { n ! } { 4 ^ { n } } ( x + 3 ) ^ { n }$ .

• A)0
• B)1
• C)2
• D)3
• E)4
• F)5
• G)6
• H) \(\infty\)

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