Menu Close

show-that-x-R-x-1-E-x-x-




Question Number 145273 by ArielVyny last updated on 03/Jul/21
show that ∀x∈R x−1≤E(x)≤x
showthatxRx1E(x)x
Answered by mathmax by abdo last updated on 04/Jul/21
we have [x]≤x<[x]+1 ⇒[x]≤x and x−1<[x] ⇒  x−1<[x]≤x
wehave[x]x<[x]+1[x]xandx1<[x]x1<[x]x

Leave a Reply

Your email address will not be published. Required fields are marked *