Answer:
10/11
Step-by-step explanation:
[tex] { \lim _{x \to5} \frac{ {x}^{2} - 5}{ {x}^{2} + x - 30 } } \\
{\lim _{x \to5} \frac{ (x + 5)(x - 5)}{ {x}^{2} + 6x - 5x - 30 } } \\
{\lim _{x \to5} \frac{ (x + 5)(x - 5)}{x( x + 6) - 5 (x + 6)} } \\
{\lim _{x \to5} \frac{ (x + 5)(x - 5)}{( x + 6)(x - 5)} } \\{\lim _{x \to5}} \frac{x + 5}{x + 6} \\ \frac{5 + 5}{5 + 6} \\ \frac{10}{11} [/tex]
