Determine the Interval of Absolute Convergence for the Given Power $\sum _ { k = 0 } ^ { \infty } k ^ { 2 } \left( \frac { x } { 6 } \right) ^ { k }$

question 13

Multiple Choice

Determine the interval of absolute convergence for the given power series. $\sum _ { k = 0 } ^ { \infty } k ^ { 2 } \left( \frac { x } { 6 } \right) ^ { k }$

• A) \(- 6 < x < 6\)
• B)All real x
• C) \(- 1 < x < 1\)
• D) \(- \frac { 1 } { 6 } < x < \frac { 1 } { 6 }\)

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