2. For x>-1. the sequence defined recursively by x1 = 2"+1| ¹ [√₁+2x₂ −1].20 converges to In(x, +1). Arrange this formula in a way that avoids loss of significance.
2. For x>-1. the sequence defined recursively by x1 = 2"+1| ¹ [√₁+2x₂ −1].20 converges to In(x, +1). Arrange this formula in a way that avoids loss of significance.
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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answer 2
![1. Suggest ways to avoid loss of significance in these calculations.
(a) √√x²+4-2
(b) ln(x+√x² +1)
(c) 1-cos.x
(d) e* –cosr—sinx
2. For x>-1, the sequence defined recursively by x1 = 2+1 [√1+2x₁,-1]. 20
converges to In(x, +1). Arrange this formula in a way that avoids loss of significance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fb2d316-2402-4377-835d-bb3f3e603de5%2F22680d52-22d8-4e02-ab73-b47a2cb28b36%2F73yj8qs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Suggest ways to avoid loss of significance in these calculations.
(a) √√x²+4-2
(b) ln(x+√x² +1)
(c) 1-cos.x
(d) e* –cosr—sinx
2. For x>-1, the sequence defined recursively by x1 = 2+1 [√1+2x₁,-1]. 20
converges to In(x, +1). Arrange this formula in a way that avoids loss of significance.
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