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

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The Answer of Find the Radius of Convergence and the Interval of Convergence$\sum _ { n = 0 } ^ { \infty } \left( \frac { n x } { 6 } \right) ^ { n }$

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

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Find the Radius of Convergence and the Interval of Convergence ∑n=0∞(nx6)n\sum _ { n = 0 } ^ { \infty } \left( \frac { n x } { 6 } \right) ^ { n }∑n=0∞​(6nx​)n

Definitions:

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