Homework Statement
F(x) = x if x is rational, 0 if x is irrational.
Use the δ, ε definition of the limit to prove that lim(x→0)f(x)=0.
Use the δ, ε definition of the limit to prove that lim(x→a)f(x) does not exist for any a≠0.
Homework Equations
lim(x→a)f(x)=L
0<|x-a|<δ...