Question

помогите lim x→5 x-5/x^2-25

Answer 1

$\lim_{x \to 5} \frac{x-5}{ x^{2} -25} = \frac{5-5}{ 5^{2}-25 } = \frac{0}{0}$
$\lim_{x \to 5} \frac{x-5}{ x^{2} -25} = \lim_{x \to 5} \frac{x-5}{(x-5)*(x+5)} = \lim_{x \to 5} \frac{1}{x+5} = \frac{1}{5+5}= \frac{1}{10} =0,1$