(im find the poll \( \lim _{x \rightarrow 1} \frac{4}{7-x} \)

To evaluate the limit \( \lim _{x \rightarrow 1} \frac{4}{7-x} \), simply substitute \( x = 1 \) into the expression. This gives us \( \frac{4}{7-1} = \frac{4}{6} = \frac{2}{3} \). So, the limit evaluates to \( \frac{2}{3} \)! Easy peasy! However, be cautious! If you’re dealing with limits that could lead to division by zero or undefined expressions, always check both sides of the limit. Here, the expression is straightforward, but in more complex scenarios, using epsilon-delta definitions or one-sided limits might be necessary to ensure convergence. Happy calculating!