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Lecture

11.5 Alternating Series Question #3 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
11.5 Infinite Sequences & Series Alternating Series Question #3 (Medium): Number of Terms in the Series Needed to Meet the Error Bound Strategy For an alternating series given as ∑ , it can be written as a more obvious alternating series like ∑ ( ) Alternating series test states that the series converges if it meets two conditions: 1) for all 2) After the series turns out to be convergent, then the number of terms needed for series to be within the assigned error bound can be calculated based on | | | | Sample Question Show that the series is convergent. How many terms of the series are needed in order to find the sum to the given accuracy? ∑ ( ) ,(| | ) Solution First the series
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