limit as x approaches-2 of (-5x-10)/(x^3+2x^2)

解

x \to - 2 lim (\frac{- 5 x - 10}{x ^{3} + 2 x ^{2}})

- \frac{5}{4}

十進法表記

- 1.25

解答ステップ

x \to - 2 lim (\frac{- 5 x - 10}{x ^{3} + 2 x ^{2}})

簡素化

\frac{- 5 x - 10}{x ^{3} + 2 x ^{2}} : - \frac{5}{x ^{2}}

= x \to - 2 lim (- \frac{5}{x ^{2}})

値を挿入する

x = - 2

= - \frac{5}{( - 2 ) ^{2}}

簡素化

- \frac{5}{( - 2 ) ^{2}} : - \frac{5}{4}

= - \frac{5}{4}