Find the Radius of Convergence of the Power Series $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { n } } { 5 ^ { n } }$

question 64

Multiple Choice

Find the radius of convergence of the power series. $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { n } } { 5 ^ { n } }$

• A) \(\frac { 1 } { 25 }\)
• B) \(\frac { 1 } { 5 }\)
• C) 5
• D) \(\infty\)
• E) 25

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