The real valued function , where denotes the greatest integer less than or equal to , is defined for all belonging to:

Question

The real valued function , where  denotes the greatest integer less than or equal to , is defined for all  belonging to:

Canvas Classes · Accepted Answer

🧠 Reading the Question — Two Separate Conditions, One Numerator and One Denominator

The function is a ratio:  on top,  on the bottom. Each piece has its own domain requirement, and the function is defined only where both are simultaneously OK.

Make the checklist:
1. Numerator  requires , that is,  or .
2. Denominator  requires  (always true — the fractional part is always non-negative).
3. Denominator nonzero: , that is,  must not be an integer.

The first concrete move is to write down the i

More questions from this chapter

More questions from this chapter