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Midterm

# 11.6 Absolute Convergence & Ratio and Root Tests Question #5 (Medium)

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School
University of Toronto St. George
Department
Mathematics
Course
MAT136H1
Professor
all
Semester
Winter

Description
11.6 Infinite Sequences & Series Absolute Convergence & Ratio and Root Tests Question #5 (Medium): Inconclusiveness According to the Ratio Test Strategy There are only three outcomes to the ratio test: 1) | | means ∑ is absolutely convergent (ie. convergent) 2) | | , or means ∑ is divergent 3) | | means no conclusion can be drawn from the Ratio Test about convergence or divergence of ∑ If the outcome is exactly 1, no conclusion can be drawn as to the series’ convergence or divergence. Sample Question For the following series, is the ratio test inconclusive, meaning it fails to give a definite answer? √ ∑
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