Infinite Series Expansion

Infinite Series Expansion
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2020-03-09 18:52
This example demonstrates the mathematical phenomenon of infinite series expansion, visually showing the convergence process and function approximation of series. Core math concepts include series, function approximation, analytical geometry, linear regression, and statistical characteristics. Construction highlights from the summary involve GeoGebra commands Sum (summation), objects n (variable), f (function), a (parameter), g (graphics), b (parameter), h (parameter), c (parameter), text1 (text), text2 (text), text3 (text). Suitable for high school and above learners to understand series theory and practical applications.

GeoGebra Commands & Parameters

  1. Sum(x^(i) / i!, i, 0, n) → f
  2. Sum(((-1)^(j) * x^((2 * j) + 1) / ((2 * j) + 1)!), j, 0, n) → g
  3. Sum(((-1)^(j) * x^((2 * j)) / ((2 * j))!), j, 0, n) → h