A power series ∑n=0∞an(x−3)n\sum_{n=0}^{\infty} a_n(x-3)^n∑n=0∞an(x−3)n has radius of convergence R=4R = 4R=4. Which statement is true?
The series converges for −1<x<7-1 < x < 7−1<x<7
The series converges at x=−1x = -1x=−1 and x=7x = 7x=7
The series diverges for all x>7x > 7x>7
All of the above