Show that every real number is a limit of rational number.

Question

Show that every real number is a limit of rational number.

I understand that the statement is true and very trivial. But how can I mathematically show that! Please help.

Answer 1

Hint

$$\forall x\in\mathbb R,\quad x_n=\frac{\lfloor10^n x\rfloor}{10^n}\to x$$