Series Expansion (Wolfram MathWorld)'/> Asymptotic Expansions - Wolfram Demonstrations Project

Asymptotic Expansions

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An asymptotic expansion of a function is an expression of that function as an infinite series of polynomial terms. A partial sum of that series is a polynomial that approximates the function with the approximation generally improving as more terms are used. For these two examples, as the number of terms increases, the error near increases, yet the error for larger values of decreases.

Contributed by: Thomas Georgiou (March 2011)
Open content licensed under CC BY-NC-SA


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