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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.4: Exponential And Logarithmic Equations
Problem 83E: The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use...
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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.
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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