Hi there!
![\large{lim_{x \longrightarrow 3}( - 5 {x}^{2} - 2x + 4)}](/tpl/images/2380/6134/929d5.png)
Simply substitute x = 3 in the expression.
![\large{ - 5 {(3)}^{2} - 2(3) + 4} \\ \large{ - 5(9) - 6 + 4} \\ \large{ - 45 - 6 + 4} \\ \large{ - 47}](/tpl/images/2380/6134/90e70.png)
Questions can be asked through comment.
Furthermore, limit is like substituting a value. Note that limit is about an approaching value. This is a basic limit.
Hope this helps, and Happy Learning! :)