Which of the following intervals is impossible for the convergence of the power series listed below ?

Question

Which of the following intervals is impossible for the convergence of the power series  ?

	0 < x < 6
	1 ≤ x ≤ 5
	2 ≤ x ≤ 5
	2 ≤ x ≤ 4

Answer 1

Since the power series is in powers of x-3, the center of the interval of convergence is 3.

Since the interval [2,5] is not centered at 3, [2,5] can't be the interval of convergence.