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Let az=f(k), where is a continuous, positive, and decreasing function on [n, ∞), and suppose that ∞ Defining R₂=S-Sn, where S = Σax is convergent. λ=1 [ƒ(x)dx ≤R₁ ≤ n+1 by $40. O 0.0006 O 0.1000 O 0.0025 O 0.0250 an and Sn = Zak, we have that n=1 k=1 f(x)dx. Find the maximum error if the sum of the series 4 Ž is approximated n=1n²

Let az=f(k), where is a continuous, positive, and decreasing function on [n, ∞), and suppose that ∞ Defining R₂=S-Sn, where S = Σax is convergent. λ=1 [ƒ(x)dx ≤R₁ ≤ n+1 by $40. O 0.0006 O 0.1000 O 0.0025 O 0.0250 an and Sn = Zak, we have that n=1 k=1 f(x)dx. Find the maximum error if the sum of the series 4 Ž is approximated n=1n²

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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Let a=f(k), where f is a continuous, positive, and decreasing function on [n, ∞), and suppose that 71 Lax is convergent. Defining R=S-Sn, where S=2an and Sm x=1 n=1 [ f(x)dx ≤R₁ ≤ f(x) dx. Find the maximum error if the sum of the series n+1 by $40. 0.0006 O 0.1000 O 0.0025 O 0.0250 = Zak, we have that k=1 n 2 4 is approximated n=1n²
Transcribed Image Text:Let a=f(k), where f is a continuous, positive, and decreasing function on [n, ∞), and suppose that 71 Lax is convergent. Defining R=S-Sn, where S=2an and Sm x=1 n=1 [ f(x)dx ≤R₁ ≤ f(x) dx. Find the maximum error if the sum of the series n+1 by $40. 0.0006 O 0.1000 O 0.0025 O 0.0250 = Zak, we have that k=1 n 2 4 is approximated n=1n²
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