30. If the power series Σa,(x-4)" converges at x = 7 and diverges at x = 9, which of the following must be true? n=0 I. The series converges at x = 1. II. The series converges at x = 2. III. The series diverges at x = -1. (A) I only (B) II only (C) I and II only (D) II and III only

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
Question
30. If the power series Σa,(x-4)" converges at x = 7 and diverges at x = 9, which of the following
must be true?
n=0
I. The series converges at x = 1.
II. The series converges at x = 2.
III. The series diverges at x = -1.
(A) I only
(B) II only
(C) I and II only
(D) II and III only
Transcribed Image Text:30. If the power series Σa,(x-4)" converges at x = 7 and diverges at x = 9, which of the following must be true? n=0 I. The series converges at x = 1. II. The series converges at x = 2. III. The series diverges at x = -1. (A) I only (B) II only (C) I and II only (D) II and III only
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