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I've been reading the wikipedia article about $Big O$ notation:

http://en.wikipedia.org/wiki/Big_O_notation#Example,

and i'm not sure about the second step in wich $6x^4 + |2x^3|+5$ turns into $6x^4 + 2x^4+5x^4$. How is it that the $x^4$ appears in there?

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    It's just that for all $x \geq x_0 = 1$ we have that $| 2x^3 | \leq 2 x^4$ and $5 \leq 5 x^4$.2012-06-26
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    @mayhem:$6x^4 + |2x^3|+5 \leq$ $6x^4 + 2x^4+5x^4$(not equal)2012-06-26

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