From the list below, select all TRUE statements. (But do not select any false statements!) Of 1 an converges, then n-1 an converges too. 8 0 A p-series of the form 1 converges precisely when p > 1. Σ P The absolute value of the remainder of any convergent series can be estimated by using the next term, i.e. Rn < an+1 for any convergent series. According to the Integral Test, assuming its three conditions are satisfied, we can conclude that 1 f(n) = f₁ f(x) dx. Of 1 an converges, then 1 an converges conditionally. The Limit Comparison Test for series requires that all terms in both series (that are being compared) are non-negative.
From the list below, select all TRUE statements. (But do not select any false statements!) Of 1 an converges, then n-1 an converges too. 8 0 A p-series of the form 1 converges precisely when p > 1. Σ P The absolute value of the remainder of any convergent series can be estimated by using the next term, i.e. Rn < an+1 for any convergent series. According to the Integral Test, assuming its three conditions are satisfied, we can conclude that 1 f(n) = f₁ f(x) dx. Of 1 an converges, then 1 an converges conditionally. The Limit Comparison Test for series requires that all terms in both series (that are being compared) are non-negative.
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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Kk.48.
Transcribed Image Text:From the list below, select all TRUE statements. (But do not select any false
statements!)
8
Of 1 an converges, then 1 an converges too.
n=1
8
n=1
8
A p-series of the form 1 converges precisely when p > 1.
Σ
np
The absolute value of the remainder of any convergent series can be estimated
by using the next term, i.e. Rn| < |an+1 for any convergent series.
According to the Integral Test, assuming its three conditions are satisfied, we can
conclude that 1 f(n) = f₁ f(x) dx.
Of 1 an converges, then
8
n=1
n=
1 an converges conditionally.
The Limit Comparison Test for series requires that all terms in both series (that
are being compared) are non-negative.
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