Thread: At what points is f(x)=floor(1/x) continuous?

Thanks!

2. Re: At what points is f(x)=floor(1/x) continuous?

Have you tried drawing a graph? Draw the graph of 1/x and move each point down to the nearest integer y-coordinate.

3. Re: At what points is f(x)=floor(1/x) continuous?

For $x>0$ it is continuous on $\left[ {\bigcup\limits_{n = 1}^\infty {\left( {\frac{1}{{n + 1}},\frac{1}{n}} \right)} } \right]\bigcup {\left( {1,\infty } \right)}$

Where else?