Find the radius of convergence of the power series. $\sum _ { n = 1 } ^ { \infty } \frac { ( x - 6 ) ^ { n - 1 } } { 6 ^ { n - 1 } }$
A) $- 6$
B)1
C) $6$
D)-1
E)0

Name: Find the radius of convergence of the power series. $\sum _ { n = 1 } ^ { \infty } \frac { ( x - 6 ) ^ { n - 1 } } { 6 ^ { n - 1 } }$ A) $- 6$ B)1 C) $6$ D)-1 E)0
Brand: Quizplus
Rating: 4.8 (39 reviews)

Question

Quizplus · Accepted Answer

The radius of convergence is 6 because the power series is centered at 6 and the denominator of each term contains 6 to the power of n-1.

Find the Radius of Convergence of the Power Series ∑n=1∞(x−6)n−16n−1\sum _ { n = 1 } ^ { \infty } \frac { ( x - 6 ) ^ { n - 1 } } { 6 ^ { n - 1 } }∑n=1∞​6n−1(x−6)n−1​

Find the Radius of Convergence of the Power Series $\sum _ { n = 1 } ^ { \infty } \frac { ( x - 6 ) ^ { n - 1 } } { 6 ^ { n - 1 } }$