JEE Main 2023 Mathematics question

Let f(x) = , where xR and [t] denotes the greatest integer less than or equal to t. Then, f is :

• (A)continuous at x = 0, but not continuous at x = 1
• (B)continuous at x = 1, but not continuous at x = 0Correct
• (C)continuous at x = 0 and x = 1
• (D)not continuous at x = 0 and x = 1