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Midterm

11.4 Comparison Tests Question #4 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
11.4 Infinite Sequences & Series Comparison Tests Question #4 (Medium): Estimating the Sum of Series and Its Error Strategy Based on the first n number of terms in the series, the sum can be estimated. The error is than what remains from the next term thereafter until infinity. This is calculated by and its lower and upper limit can be set using improper integral: ∫ ( ) ∫ ( ) Sample Question Use the sum of the first 7 terms to approximate the sum of the series. Estimate the error. ∑ Solution The sum of the first 7 terms is: Now that since
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