Lesson 26a - Power Series

Example3continued 2n x 3 n

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Unformatted text preview: this series converges alternating series test as it is clearly alternating, decreasing, and the limit goes to 0. This means we can also include ‐1 in our interval. This makes our interval of convergence [‐1,1] Example 3 2n( x 3) n Determine the interval of convergence for the following: 5n n 1 Here we see no functions to functions, so we will use the ratio test. an 1 2(n 1)( x 3) n 1 5n lim lim n 1 2n( x 3) n n a n 5 n an 1 (n 1)( x 3) lim n a n 5n n an 1 | x 3 | n 1 lim lim n a 5 n n n lim T...
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This note was uploaded on 02/07/2014 for the course MATH 1004 taught by Professor Mark during the Summer '00 term at Carleton CA.

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