Question

Qual o valor do limite abaixo?

Answer 1

$\lim_{n \to \5} \frac{ \frac{1}{x}- \frac{1}{5} }{x-5} = \\ \\ \lim_{n \to \5} \frac{ \frac{5-x}{5x} }{x-5} \\ \\ \lim_{n \to \5} \frac{5-x}{5x(x-5)} \\ \\ \lim_{n \to \5} \frac{-x+5}{5x[-(-x+5)]} \\ \\ \lim_{n \to \5} \frac{1}{-5x} = - \frac{1}{5.5} =- \frac{1}{25}$