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349 Review Sheet for MATH 401 at PSU

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This 1 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Pennsylvania State University taught by a professor in Fall. Since its upload, it has received 25 views.

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Date Created: 02/06/15
MATH 401 7 Fall 2008 Review sheet for Midterm Exam 2 Topics to be known 0 Limits of functions 0 One sided limits 0 Properties of limits 0 Sequential criterion for limits 0 Continuous functions on an interval 0 The intermediate value theorem 0 The limit de nition of the derivative 0 One sided derivatives 0 Properties of differentiable functions oLocal maxima and minima o Rolle7s theorem 0 The mean value theorem 0 Monotone functions 0 Convex functions 0 De nition of power series 0 Geometric7 harmonic7 collapsing7 alternating series7 and p series 0 Absolute convergence and conditional convergence 0 The nth term divergence test for series 0 The ordinary comparison test 0 The limit comparison test 0 The ratio test 0 The nth root test 0 Interval of convergence 0 Radius of convergence 0 Term by term integration and differentiation of power series Theorems and propositions to be known 0 Sequential criterion for limits theorem 89 0 Properties of limits proposition 812 0 Sandwich theorem for limits proposition 814 0 Continuity property on compact intervals theorem 98 o The intermediate value theorem 0 The mean value theorem 0 Interval of convergence theorem theorem 152 0 Continuity and differentiation of power series proposition 158

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