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Newton's Method for Approximating Cube Roots - Real Numbers and Limits Math Foundations

Newton's Method for Approximating Cube Roots - Real Numbers and Limits Math Foundations

Insights into Mathematics via YouTube Direct link

Weighted Babylonian method

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Weighted Babylonian method

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Newton's Method for Approximating Cube Roots - Real Numbers and Limits Math Foundations

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  1. 1 Intro to finding cube roots
  2. 2 Not all numbers are cubes
  3. 3 Same problems arise for square root of 2 and 5
  4. 4 Newton's method for solving x³=5 approximately
  5. 5 Taylor expansion and tangent lines
  6. 6 Weighted Babylonian method
  7. 7 Quadratic Newton Method
  8. 8 Exercise

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