Prob #1
게시글 주소: https://dev.orbi.kr/00035666876
e^r is irrational for every r ∈ Q\{0}
Prove it. [5 points]
0 XDK (+0)
유익한 글을 읽었다면 작성자에게 XDK를 선물하세요.
게시글 주소: https://dev.orbi.kr/00035666876
e^r is irrational for every r ∈ Q\{0}
Prove it. [5 points]
0 XDK (+0)
유익한 글을 읽었다면 작성자에게 XDK를 선물하세요.
fuck it
trivial
By Lindemann-weierstrass, as r is nonzero(so linearly independent) and algebraic over Q, e^r is transcendental over Q so that e^r is irrational