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Unformatted text preview: equations in Q2. Q4. Prove that { 1 , log(1 + ǫ ) , log(1 + ǫ 2 ) , log(1 + ǫ 3 ) , . . . } is an asymptotic sequence as ǫ → 0. Q5. Arrange the following so that they form an asymptotic sequence as ǫ → 1 , ǫ 1 2 , ǫ 2 , log 1 ǫ , ǫ 1 2 , ǫ 2 log 1 ǫ , log(log 1 ǫ ) , ǫ 3 2 , ǫ 1 2 log 1 ǫ . ( Hint: log 1 ǫ = o ( 1 ǫ p ) as ǫ → 0 for any p > 0)...
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This note was uploaded on 04/27/2009 for the course MATH 401 taught by Professor Sarkar during the Spring '09 term at Texas A&M.
 Spring '09
 SARKAR
 Math

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