Question

Вычислите предел:
lim 5x - x²- 4/x² - 2x - 8
x⇒4

Answer 1

$lim_{x to 4} frac{5x-x^2-4}{x^2-2x-8}={frac{0}{0}}=lim_{x to 4} frac{(x-4)(1-x)}{(x+2)(x-4)} = lim_{x to 4} frac{1-x}{x+2}=frac{-3}{6} =-frac{1}{2}$