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Let f(x) = [x 2 − x] + | –x + [x]|, where x  R and [t] denotes the greatest integer less than or equal to t. Then, f is :

1. continuous at x = 0, but not continuous at x = 1
2. continuous at x = 1, but not continuous at x = 0
3. continuous at x = 0 and x = 1
4. not continuous at x = 0 and x = 1

Correct answer: continuous at x = 1, but not continuous at x = 0

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