For x21, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n 2 1, the nth term of the series a, is defined by a, =g(n). If n=1 1 8(x) dx converges to 8, which of the following could be true? (A) a, =6 %3D n=1 (B) a, = 8 %3D n=1 (C) E4, =10 n=1 (D) a, diverges
For x21, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n 2 1, the nth term of the series a, is defined by a, =g(n). If n=1 1 8(x) dx converges to 8, which of the following could be true? (A) a, =6 %3D n=1 (B) a, = 8 %3D n=1 (C) E4, =10 n=1 (D) a, diverges
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![For x21, the continuous function g is decreasing and positive. A portion of the graph
of g is shown above. For n 2 1, the nth term of the series a, is defined by a, =g(n). If
n=1
1 8(x) dx converges to 8, which of the following could be true?
(A) a, =6
%3D
n=1
(B) a, = 8
%3D
n=1
(C) E4, =10
n=1
(D) a, diverges](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31f979b8-8825-4064-8795-d73ff3ae8525%2F0f37f1bf-0bdc-4714-9ff7-2e5d9ed90fb7%2F1hb1zog.jpeg&w=3840&q=75)
Transcribed Image Text:For x21, the continuous function g is decreasing and positive. A portion of the graph
of g is shown above. For n 2 1, the nth term of the series a, is defined by a, =g(n). If
n=1
1 8(x) dx converges to 8, which of the following could be true?
(A) a, =6
%3D
n=1
(B) a, = 8
%3D
n=1
(C) E4, =10
n=1
(D) a, diverges
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