Big Oh notation help?

  • #1
Can someone please explain what it means to say something like
[tex]
x = x_0 + \mathcal{O}(y)
[/tex]
?
 

Answers and Replies

  • #2
arildno
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Nothing.

You must include in your expression a "as x goes to.."

Without that, it is meaningless.
 
  • #3
607
0
[itex]\cos x = 1 + O(x^2)[/itex] as [itex]x \to 0[/itex] means:
[tex]\frac{\cos x - 1}{x^2}[/tex]
is bounded in some neighborhood of [itex]0[/itex] .
 

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