Evaluate the following limits, if they exist :
`lim_(x to 2) 4`

Answer

To evaluate the limit \( \lim_{x \to 2} 4 \), we can follow these steps:

1. **Identify the Function**: The function given is a constant function \( f(x) = 4 \). This means that for any value of \( x \), the output is always 4.

2. **Understanding Limits of Constant Functions**: The limit of a constant function as \( x \) approaches any value is simply the constant itself. This is because the function does not change regardless of the value of \( x \).

3. **Apply the Limit**: Since the function is constant, we can directly state that:
\[ \lim_{x \to 2} 4 = 4 \]

4. **Conclusion**: Therefore, the limit exists and is equal to 4.

Final Answer:
\[ \lim_{x \to 2} 4 = 4 \]