Math Problem Statement
\psi函数是不减的,且log(\psi(n))/\sqrt(n)趋于0当n趋于无穷,构造子列n_k,使得满足以下条件 1、\psi(n_k)/\psi(n_{k+1})当k趋于无穷大时趋于1 2、n_k/k趋于无穷当,k趋于无穷时 3、k趋于无穷时,\sqrt(n_{k+1})/(n_{k+1}-n_k)有限
Solution
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Math Problem Analysis
Mathematical Concepts
Analysis
Number Theory
Formulas
\(\lim_{n \to \infty} \frac{\log(\psi(n))}{\sqrt{n}} = 0\)
Theorems
Properties of increasing functions
Suitable Grade Level
Advanced Mathematics
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