Let `f(x)={x}=` greater integer less than or eqal to x. For any integer k, show that `lim_(xtok) f(x)` does not exist.

Explanation

To show that the limit of the function \( f(x) = \lfloor x \rfloor \) (the greatest integer less than or equal to \( x \)) does not exist as \( x \) approaches any integer \( k \), we will analyze the behavior of the function from both sides of \( k \).

### Step-by-Step Solution:

1. **Understanding the Function**:
The function \( f(x) = \lfloor x \rfloor \) gives the greatest integer less than or equal to \( x \). For example:
- \( f(7.5) = 7 \)
- \( f(8) = 8 \)
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