엡실론_델타_예제_01 뜻(meaning)



Delta Epsilon Proofs.pdf 1

$\lim_{x\to 2}(3x-1)=5$
다시 말해
Find an $\epsilon>0$ such that if $0<|x-2|<\delta$ then $|(3x-1)-5|<\epsilon$

먼저 delta를 찾는다
$|3x-6|<\epsilon$
$|x-2|<\epsilon/3$

그래서 $\delta=\frac{\epsilon}3$ 으로 pick, 그러면 $|x-2|<\frac{\epsilon}{3}$ 이 되는지?

Yes.

Delta Epsilon Proofs.pdf 2

$\lim_{x\to 2}(3x^2-4x+1)=5$ 를 증명하라.

다시 말해 양수 epsilon을 찾아라. such that
if $0<|x-2|<\delta$ then $|(3x^2-4x+1)-5|<\epsilon$

$3x^2-4x-4=(x-2)(3x+2)$

TODO


이상 http://mathnmath.tistory.com/36
Delta Epsilon Proofs.pdf 참조했음
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