Find the Interval of Convergence of the Power Series $\sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 6 } \right) ^ { n }$

question 167

Multiple Choice

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) $\sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 6 } \right) ^ { n }$

• A) \([ - 6,6 )\)
• B) \(( - 6,6 )\)
• C) \([ - 6,6 ]\)
• D) \(\left( \frac { - 1 } { 6 } , \frac { 1 } { 6 } \right)\)
• E) \(\left[ \frac { - 1 } { 6 } , \frac { 1 } { 6 } \right)\)

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