## Understanding Θ-notation

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arnob
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Joined: Fri Feb 24, 2012 3:19 pm

### Understanding Θ-notation

$\frac{n^{3}}{1000}-100n^{2}-100n+3$ in terms of Θ-notation .... will it be just Θ($n^{3}$)

*Mahi*
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### Re: Understanding Θ-notation

arnob wrote:$\frac{n^{3}}{1000}-100n^{2}-100n+3$ in terms of Θ-notation .... will it be just Θ($n^{3}$)
Yes.
An easy way to understand is if $f(n) = \frac{n^{3}}{1000}-100n^{2}-100n+3$ then $\lim _{n \rightarrow \infty }\frac {f(n)} {n^3} = 1$
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SANZEED
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### Re: Understanding Θ-notation

Er-can anyone give me a simple explanation about the notation here?
And Mahi vai,what is $x$?
$\color{blue}{\textit{To}} \color{red}{\textit{ problems }} \color{blue}{\textit{I am encountering with-}} \color{green}{\textit{AVADA KEDAVRA!}}$

*Mahi*
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### Re: Understanding Θ-notation

SANZEED wrote:Er-can anyone give me a simple explanation about the notation here?
And Mahi vai,what is $x$?
That was a typo, edited now, thanks.
And this should be good enough.
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Nur Muhammad Shafiullah | Mahi