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Let f(x) = V1- æn – 1 where n > 2. Explain the difficulty of computing f(x) for a small value of |æ| (i.e., æ → 0). а. b. Show how the difficulty in computing f(x) can be circumvented. C. Compute the condition number of f(æ) for æ → 0.

Let f(x) = V1- æn – 1 where n > 2. Explain the difficulty of computing f(x) for a small value of |æ| (i.e., æ → 0). а. b. Show how the difficulty in computing f(x) can be circumvented. C. Compute the condition number of f(æ) for æ → 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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Let f(x) = V1– a" – 1 where n > 2. - Explain the difficulty of computing f(æ) for a small value of |æ| (i.e., æ → 0). а. b. Show how the difficulty in computing f(x) can be circumvented. с. Compute the condition number of f(x) for æ → 0.
Transcribed Image Text:Let f(x) = V1– a" – 1 where n > 2. - Explain the difficulty of computing f(æ) for a small value of |æ| (i.e., æ → 0). а. b. Show how the difficulty in computing f(x) can be circumvented. с. Compute the condition number of f(x) for æ → 0.
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