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Use the ratio test to show that the radius of convergence

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider ISBN: 9780321747730 43

Solution for problem 33E Chapter 8.3

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

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Problem 33E

Use the ratio test to show that the radius of convergence of the series in equation (13) is infinite. [Hint: See 7, Exercises 8.2, page 435.]

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Lecture 11: February 16, 2016 Resilience  The ability to maintain normal services and lives after a major event.  If disruption occurs, rapid recovery with minimal social disruption.  Final state of affairs are better or as good as before the event.  Identify vulnerable facilities/systems. Earthquake Early Warning depends on info from the p-Wave. Seismic waves travel _______ in liquids than in solids. o S-waves don’t travel through liquid. Refraction happens when a seismic wave bends as it travels from one kind of material to the other. The division between the liquid outer core and the solid inner core is determined by: o The geotherm and the melting temperature of the core material. Lecture 12: February 18, 2016 Intraplate Earthquakes – earthquakes that appear away from plate boundaries. o Adirondacks o New Madrid o Eastern Canada  Intraplate earthquakes may preferentially occur along weak zones, such as former fault zones.  Intraplate earthquakes may be linked to: o Glacial Isostatic Adjustment o Sediment Erosion o Human Activity  Intraplate earthquakes have the same type of seismic hazards as interpolate earthquakes. Interplate Earthquakes – earthquakes that appear on plate boundaries. Stress Loading  Regional Tectonics  Density Contrasts  Local Topography  Intersection of Faults Induced Seismicity  Dams/Reservoirs  Hydraulic Fracturing  Waste Water Reinjection Earthquakes linked to hydraulic fracturing may cause changes in pore pressure.

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Chapter 8.3, Problem 33E is Solved
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Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

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Use the ratio test to show that the radius of convergence