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What is Understanding Truncation Errors in Taylor Series about?
Truncation errors occur when an approximation is used in place of an exact mathematical procedure. Taylor series provide a way to approximate functions with polynomials and predict function values. If the Taylor series is truncated and only the first few terms are used, there will be a truncation error. The size of the truncation error can be estimated by analyzing the remainder term in the Taylor series expansion. Using more terms or evaluating closer to the point of expansion reduces the truncation error.
- Author
- Arturo Avila
- Language
- EN