Evaluate the following limits :
`Lim_( x to 0 )(ax +b)/(cx +d)`

Answer

To evaluate the limit \( \lim_{x \to 0} \frac{ax + b}{cx + d} \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the limit expression**: We have the limit expression \( \lim_{x \to 0} \frac{ax + b}{cx + d} \).

2. **Substitute \( x = 0 \)**: To evaluate the limit, we substitute \( x \) with \( 0 \):
\[ \frac{a(0) + b}{c(0) + d} \]

3. **Simplify the expression**: This simplifies to:
\[ \frac{0 + b}{0 + d} = \frac{b}{d} \]

4. **Conclusion**: Therefore, the limit evaluates to:
\[ \lim_{x \to 0} \frac{ax + b}{cx + d} = \frac{b}{d} \]

### Final Answer:
\[ \frac{b}{d} \]