Can someone explain what this means.
it would also be helpful if y'all answers are supported by example
Thanks

Question

Can someone explain what this means. 
it would also be helpful if y'all answers are supported by example 
Thanks

anonymous · Answer

$$\huge \forall x \in \mathbb{R} \forall \epsilon > 0\exists K P(x)$$

unklerhaukus · Answer

$$\forall x\in\mathbb R$$for all x , elements of the real numbers, 
$$\forall\epsilon>0$$for all epsilon greater than zero
$$\exists KP(x)$$there exists K, such that P(x) is true

anonymous · Answer

so what does the epsilon sign actually represents or means? like is it a set of numbers or...

unklerhaukus · Answer

do you mean this one $\in$, or this one $\epsilon$?

anonymous · Answer

the little one

unklerhaukus · Answer

i think the $\epsilon$ is just some variable, i can't tell what it represents with out some more context,   

(sometimes epsilon represents a infinitesimal change in the value of the function, when the change on the domain is $\delta$, but i dont think that makes much sense here )

anonymous · Answer

Kk Thanks :)

anonymous · Answer

can you help me with one math problem, i did most of the parts but i got lost

unklerhaukus · Answer

sure, post a new question and show some working, ill have a good look at it