- #1
losin
- 12
- 0
f: (0,+inf)->R and
f(x) is
0 if x is irrational
1/n if x is rational (n is positive integer)
For each rational and irrational, i want to show continuity/discontinuity of f
Intuitively, i think at each rational f is discontinuous, and at each irrational f is continuous,
but i cannot figure out how should i apply differentiability to this problem...
f(x) is
0 if x is irrational
1/n if x is rational (n is positive integer)
For each rational and irrational, i want to show continuity/discontinuity of f
Intuitively, i think at each rational f is discontinuous, and at each irrational f is continuous,
but i cannot figure out how should i apply differentiability to this problem...