Lesson 25a - Ratio and Root Test

Example1 n3 2

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Unformatted text preview: )g(n) We should never use ratio or root test when we have polynomials/polynomials as these will always fail (we will always get a limit = 1 as we will get highest term/itself which is equal to 1, or the nth root of a constant which will also = 1). Example 1 n3 2 Determine if the following series converges or diverges: n! n 1 Here we see a factorial, so we will use the ratio test: an 1 (n 1) 3 2 n! lim lim 3 n a n (n 1)! n 2 n an 1 (n 1) 3 2 n! lim lim 3 n a n ( n 1) n! n 2 n an 1 (n 1) 3 2 lim lim n a n ( n 1)...
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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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