(f(x) = \begin{cases} x , \text{if } x \text{ is rational}\\... | Mathematics | SolveeIt | Solveeit

Today, August 23

Question

$f(x) = \begin{cases} x , \text{if } x \text{ is rational}\\\ 0, \text{if } x \text{ is rational} \end{cases}$ then $f$ is

A

continuous everywhere

B

discontinuous eveywhere

C

continuous only at 0

D

continuous at all rational numbers

Answer

continuous only at 0

Explanation

Solution

Answer (c) continuous only at 0