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Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A series is a description of adding infinitely many quantities, one after the other, to a given starting quantity. Although the series has an infinite number of terms, it has a finite sum (sometimes called a converging point). An example is the following infinite series. Evaluate e-5 using the series 1 e-x x2 x3 + 2! 1+x + + п! ... 3! Compare with the true value 6.737947 x 10 - 3. Use six terms (n) to evaluate the series and compute relative true and approximate errors as terms are added. Tabulate your answers with (1) no. of terms n, (2) approximate value, (3) true relative error, and (4) approximate error.
Transcribed Image Text:A series is a description of adding infinitely many quantities, one after the other, to a given starting quantity. Although the series has an infinite number of terms, it has a finite sum (sometimes called a converging point). An example is the following infinite series. Evaluate e-5 using the series 1 e-x x2 x3 + 2! 1+x + + п! ... 3! Compare with the true value 6.737947 x 10 - 3. Use six terms (n) to evaluate the series and compute relative true and approximate errors as terms are added. Tabulate your answers with (1) no. of terms n, (2) approximate value, (3) true relative error, and (4) approximate error.
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