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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 4E

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Suppose a power series converges if |3x-6) ≤33 and diverges if |3x-615 33. Determine the radius and interval of
convergence
ICO
The radius of convergence is R =
Find the interval of convergence. Select the correct choice below and fill in the answer box to complete your choice
OA. The interval of convergence is {x x=}
(Simplify your answer. Type an exact answer.)
B. The interval of convergence is
(Simplify your answer. Type an exact answer Type your answer in interval notation.)

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DECIDE WHETHER THE GIVEN SEQUENCE OR SERIES IS CONVERGENT OR DIVERGENT. IF CONVERGENT, ENTER LIMIT (FOR THE SEQUENCE). THE IF divERGEnt, UBE MF, -IMF OR DVE IF DOES пот EXIST. THE SEQUENCE {502n -
For which values of p does 00 converge? n=1 (14em) (Give your answer as an interval in the form (*,*). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.)
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does #14 converge or not?
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Letr = 17. For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise. A. Consider the sequence {nr"}. lim nr" = 0 n+∞0 B. Take my word for it that it can be shown that Now consider the series n=1 nr" = INF 8 n=1 nr IM³ ip² = ? − (n + 1)pn+¹ +r (1-r)² npr+2
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For which values of p does E n-1 (1+em) converge? (Give your answer as an interval in the form (*,*). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) PE

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