- #1

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[tex]\frac{f(n)}{g(n)}=1 [/tex] then i suppose that for n tending to infinity we should get:

[tex]f(n)\rightarrow{g(n)}[/tex] or what is the same the function f(n) diverges as g(n) as an special case:

[tex]\pi(n)\rightarrow{n/ln(n)} [/tex] where Pi is the prime number counting function in number theory