Two of the following statements are true. Which ones? 8 If Σen (*1- x0)" converges, then en (x-xo)" converges for all a such that |x − xo| < |x1 - x0|- Cn n=0 n=0 8 If Σn (1-xo)" diverges, then cn (x-xo)" diverges for all r such that x-xo| ≥ |x1 − xo|- Cn Cn n=0 ∞ n=0 If Σn (1-xo)" converges absolutely, then en (x-xo)" converges absolutely for all a such Cn n=0 n=0 that xxo x₁ - x0|. If Σen (x1 - x0)" converges, then en (x-xo)" converges for all a such that |x-xo| ≤ x₁-rol. Cn Cn n=0 n=0
Two of the following statements are true. Which ones? 8 If Σen (*1- x0)" converges, then en (x-xo)" converges for all a such that |x − xo| < |x1 - x0|- Cn n=0 n=0 8 If Σn (1-xo)" diverges, then cn (x-xo)" diverges for all r such that x-xo| ≥ |x1 − xo|- Cn Cn n=0 ∞ n=0 If Σn (1-xo)" converges absolutely, then en (x-xo)" converges absolutely for all a such Cn n=0 n=0 that xxo x₁ - x0|. If Σen (x1 - x0)" converges, then en (x-xo)" converges for all a such that |x-xo| ≤ x₁-rol. Cn Cn n=0 n=0
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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Transcribed Image Text:Two of the following statements are true. Which ones?
8
If Σn (1-xo)" converges, then en (x-xo)" converges for all a such that |x − xo| < |x₁ - x0|.
Cn
n=0
n=0
∞
If Σn (1-xo)" diverges, then cn (x-xo)" diverges for all x such that |x-xo| ≥ |x1 − xo|-
Cn
Cn
n=0
n=0
If Σn (x1 - xo)" converges absolutely, then en (x-xo)" converges absolutely for all a such
Cn
n=0
n=0
that xxo x₁ - x0|.
8
If Σen (1-xo)" converges, then (x-xo)" converges for all a such that x-xo| ≤ x₁-xo|.
n=0
n=0
Cn
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