Question

# If f : R R is a function defined by f(x) = [x] , where [x] denotes the greatest integer function, then f is :

- continuous only at x = 0
- continuous for every real x.
- discontinuous only at x = 0.
- discontinuous only at non-zero integral values of x.

Hint:

Therefore it is continuous for every real x

## The correct answer is: continuous for every real x.

### we are asked to find what the function is

The correct answer is choice 2

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