Let where denotes the integral part of Then
Explanation for the correct option:
Checking for Option (B):
We have,
For
For
Now,
Therefore, Option (B) is correct.
Checking for Option(A):
For
Therefore, option A, is correct.
Explanation for incorrect options:
Checking for Option (C):
For
For
For
Hence, option C is incorrect.
Checking for Option(D):
For
Hence, option C is incorrect.
Therefore, the correct answer is option (A) and (B)