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Unformatted text preview: then the series is ∞ divergent, if L= 1 the test is inconclusive Ratio Test (742): If →∞ + limn an 1an = L < 1, the series is absolutely convergent, if L <1 or then the series is ∞ divergent, if L= 1 the test is inconclusive Absolute and Conditional Convergence (740): If the absolute value of a series converges, the series is absolutely convergent, if the series converges, but the absolute value of the series doesn’t the series is conditionally convergent. Radius and Interval of Convergence (751):  xa < R, where R is the radius of convergence, and the interval of convergence is the interval for which the series converges Integration and Differentiation of a Power Series (755): = ∞ = n 0 xn 11 x = ∞ =ddxn 0 xn ddx11 x = = ∞ =n 0 nxn 1 11 x2 = ∞ =n 0 xn 11 x Taylor and Maclurin Series (761):...
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This note was uploaded on 04/25/2008 for the course MATH 153 taught by Professor Rempe during the Winter '08 term at Ohio State.
 Winter '08
 REMPE
 Arc Length, Geometric Series, Limits

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