To solve problem 9(c), we need to evaluate the following limit:

$\lim_{{x \to 3}} (1 - 4x)$

Solution

1. Substitute $x = 3$ into the expression: $1 - 4 \cdot 3 = 1 - 12 = -11$

Thus, the limit is:

$\lim_{{x \to 3}} (1 - 4x) = -11$

Final Answer

The answer is: $\boxed{-11}$

Would you like further details or have any questions?

Here are 5 related questions for further exploration:

1. How would you approach limits when there are discontinuities in the function?
2. What changes if the limit approaches a point where the function is undefined?
3. How would you solve this limit if it had a more complex expression involving fractions?
4. What is the general approach to solving limits involving polynomials?
5. How do we handle limits at infinity, such as $\lim_{{x \to \infty}} (1 - 4x)$?

Tip: When evaluating limits, always check if direct substitution works first before applying other techniques.