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CHEM 5 (21)
Lecture

08 Series.pdf
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Department
Chemistry
Course
CHEM 5
Professor
Douglas Tobias
Semester
Fall

Description
LECTURE #10 SERIES A series is a sum of terms over a range of indices, e.g., ⁄n a = a + a + a + ....+a + a k=0 k 0 1 2 n-1 n The Sum and NSum commands can be used to obtain exact and numerical values of series as in the following examples Example #1: SumAk , 8k, 1, 20.8k< = :8.16907µ10 NIntegrate obtained 191609.51762979227` and 160378.5178102709` for the integral and error estimates. à 191613. Given the messages, you should conclude that this sereis does not converge and not trust the value reported!! The geometric series is a case of conditional convergence Example #6: n [email protected] < 1, [email protected] * x , 8n, 0, Infinity
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