Determine if each converges or diverges and...

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AMS 161-Final Exam Practice NAME: Each question is worth 20%. 1. Determine if each converges or diverges and justify: a) 1 X n =1 (7 n )! 7 n b) 1 X n =1 ° 30 n 1
c) 1 X n =2 ln n 3 n d) 1 X n =1 ( ° 9 8 ) n +2 2
2. Find the interval of convergence for 1 X n =2 ( ° 1) n n (ln n ) 2 x n 3
3.If the half-life of a radioactive substance is 10 years, how long will it take to decay by 60% assuming

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