- #1
LagrangeEuler
- 717
- 20
We sometimes write that
[tex]\sin x=x+O(x^3)[/tex]
that is correct if
[tex]\lim_{x \to 0}\frac{\sin x-x}{x^3}[/tex]
is bounded. However is it fine that to write
[tex]\sin x=x+O(x^2)[/tex]?
[tex]\sin x=x+O(x^3)[/tex]
that is correct if
[tex]\lim_{x \to 0}\frac{\sin x-x}{x^3}[/tex]
is bounded. However is it fine that to write
[tex]\sin x=x+O(x^2)[/tex]?