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Two of the following statements are true. Which ones? 8 If Σen (1-xo)" converges, then cn (x-xo)" converges for all such that |x-xo] <*₁ — xo|- - Cn 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 n=0 n=0 If Σn (1-xo)" converges absolutely, then Σn (x-ro)" converges absolutely for all a such Cn n=0 n=0 that r-ro≤₁ - x0|- 8 If Σen (*1- x0)" converges, then cn (x-xo)" converges for all ar such that |x − xo| ≤ |*₁ — xol. Cn n=0 ∞ n=0

Two of the following statements are true. Which ones? 8 If Σen (1-xo)" converges, then cn (x-xo)" converges for all such that |x-xo] <*₁ — xo|- - Cn 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 n=0 n=0 If Σn (1-xo)" converges absolutely, then Σn (x-ro)" converges absolutely for all a such Cn n=0 n=0 that r-ro≤₁ - x0|- 8 If Σen (*1- x0)" converges, then cn (x-xo)" converges for all ar such that |x − xo| ≤ |*₁ — xol. Cn n=0 ∞ n=0

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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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
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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