Question

lim 5-x/ 25-x² quando x tende a 5

Answer 1

$\lim_{x \to 5} \frac{5-x}{25-x^{2}} \\\\ \lim_{x \to 5} \frac{5-x}{5^{2}-x^{2}} \\\\ \lim_{x \to 5} \frac{5-x}{(5-x)(5 + x)} \\\\ \lim_{x \to 5} \frac{1}{5 + x} \\\\ \lim_{x \to 5} \frac{1}{5 + 5} \\\\ \boxed{ \lim_{x \to 5} \frac{1}{10} \\\\}$