Let be such that the function
is continuous at, where is the greatest integer less than or equal to . Then:
No such exists
Explanation for the correct option:
Step 1: Solving the Right-hand limit
We know that
Step 2: Solving the Left-hand limit
We know that
As LHL is not equal to RHL, therefore f(x) is not continuous at
Therefore, option (B) is the correct answer.