Value of 1/(1-1/0) at 0

[foxjwill]

[SOLVED] value of 1/(1-1/0) at 0

Homework Statement

Is the function

$$f(x)=\frac{1}{1-\frac{1}{x}}$$​

defined at $$x=0?$$

Homework Equations

The Attempt at a Solution

Since we have division by zero in the denominator, I'm assuming that it isn't. Am I correct?

 

[nicksauce]

I would agree.

 

[HallsofIvy]

Yes, 1/0 is NOT defined. You don't have to "assume" anything!