Mathematics · Numerical Analysis
Consider the Newton-Raphson method applied to approximate the square root of a positive number α. A recursion relation for the error e n = x n - √α is given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1e n+1 = e n 2 e n + 2√α
- 2e n+1 = 1 2 ( e n 2 e n + √α )✓
- 3e n+1 = 1 2 (e n - α e n )
- 4e n+1 = 1 2 (e n + α e n )
Correct answer
e n+1 = 1 2 ( e n 2 e n + √α )
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