The interval of convergence of the power series $\sum _ { n = 1 } ^ { \infty } \frac { ( x - 1 ) ^ { n } } { 3 n }$ is

A)(0,2)
B)[0,2)
C)(0,2]
D)[0,2]
E)(-$\infty$, $\infty$ )

Question

The interval of convergence of the power series $\sum _ { n = 1 } ^ { \infty } \frac { ( x - 1 ) ^ { n } } { 3 n }$ is

A)(0,2)
B)[0,2)
C)(0,2]
D)[0,2]
E)(-$\infty$, $\infty$ )

Quizplus · Accepted Answer

The Answer of The interval of convergence of the power series $\sum _ { n = 1 } ^ { \infty } \frac { ( x - 1 ) ^ { n } } { 3 n }$ is

A)(0,2)
B)[0,2)
C)(0,2]
D)[0,2]
E)(-$\infty$, $\infty$ )

The Interval of Convergence of the Power Series ∑n=1∞(x−1)n3n\sum _ { n = 1 } ^ { \infty } \frac { ( x - 1 ) ^ { n } } { 3 n }∑n=1∞​3n(x−1)n​