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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

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
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
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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