Question

$(\lim_{x \to 1; x\ \textgreater \ 1} x)- (\lim_{x \to 0.(9); x\ \textless \ 0.(9)} x)=?$

Am asa o presimtire ca e 0 si totusi mi e pare asa de anapoda.....

Answer 1

x=0.(9)
10x=9.(9)
10x-x=9.(9)-0.(9)=9
9x=9
x=1
0.(9)=1
f(x)=x , f continua in 1 ⇒ ld(1)=ls(1)=ls(0.(9))
⇒ ld(1)-ls(0.(9))=0.