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Unformatted text preview: 1. lim n n b a n = 0, for a > 1 and any b . 2. lim n a n n ! = 0, for any a . 3. lim n n ! n n = 0. 4. lim n n + 1 n = 1; more generally 5. lim n ( n + 1) b n b = 1 for any power b ; and more generally still 6. lim n p ( n + 1) p ( n ) = 1 for any polynomial p ( n ). 7. lim n a n +1 a n = a n +1 a n = a (geometric). 8. ( n + 1)! n ! = n + 1, so 9. lim n ( n + 1)! n ! = (factorial). 10. lim n n 1 /n = 1 and more generally 11. lim n  p ( n )  1 /n = 1 for any polynomial p ( n ). 12. lim n  a n  1 /n =  a  (geometric). 13. lim n ( n !) 1 /n = (factorial)....
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This note was uploaded on 03/09/2008 for the course CALC 1,2,3 taught by Professor Varies during the Spring '08 term at Lehigh University .
 Spring '08
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 Calculus

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