How can I mathematically prove that 1 / n is (1)? Where do I get confusion on any help?
As a problem, start with the definition of large-o notation.
F (x) = o (g) IFF there is constant and k, like all n & gt; M, k * | G (N) & Gt; F (n). (Consult your textbox for precise terms here.)
Informally, this means that if we go too far "out", eventually G (n) F (n), no matter how much primary benefits we give to F (N) through constant factors.
So, how do you prove such a thing?
Such evidence is usually done constructively - showing that the particulars selected for M and the work of inequality work.
Now that you are just algebra, find some m and Kashmir that fulfills the formal definition, depending on the required formality / level of detail, you may need to prove that 1 / n monotonic form Less than (or some induction proof) to show that your choice m and Kashmir actually work.
Route (and loadmaster): About the simulation of functions is completely independent from the asymptotic notation dialogue, and the underlying hardware and implementation is 1 / n = o (1) There is a mathematical truth that does not apply to the existence of those things which we call "computers." If you are thinking about the number of instructions, then you have to think about complexity classes (P, NP, ACP (PPP) Do not argue in, A No Imptotik notation.
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