To find the limit of the function $f(x) = 7x - 2$ as $x \to 7$, we can directly substitute $x = 7$ into the function since this is a linear expression.

$\lim_{{x \to 7}} (7x - 2) = 7(7) - 2 = 49 - 2 = 47$

Thus, the limit is:

$\lim_{{x \to 7}} f(x) = 47$

Would you like more details on this, or do you have any questions?

Here are 5 related questions:

1. What happens if you change the constant term in $f(x)$?
2. How would the limit change if the coefficient of $x$ were different?
3. What if the function were $f(x) = 7x^2 - 2$?
4. How do limits behave for non-linear functions?
5. What is the graphical interpretation of limits?

Tip: For simple polynomials or linear functions, limits can often be found by direct substitution, as these functions are continuous everywhere.