limit as x approaches-6-of (|x+6|)/(x+6)

解答

x \to - 6 - lim (\frac{∣ x + 6 ∣}{x + 6})

- 1

求解步骤

x \to - 6 - lim (\frac{∣ x + 6 ∣}{x + 6})

当

x \to - 6 -

时,

x + 6

为负. 因此

∣ x + 6 ∣ = - x - 6

= x \to - 6 - lim (\frac{- x - 6}{x + 6})

\frac{- x - 6}{x + 6} = - 1

= x \to - 6 - lim (- 1)

x \to a lim c = c

= - 1

\int_{0}^{1} (x^{2} + 1) d x

\frac{\partial}{\partial x} (- 5 y^{4} sin (5 x))

\frac{d y}{d x} = \frac{3 x - 9}{2 x + 8}

x \to 0 lim (\frac{1 - e ^{- 2 x}}{x})

\frac{d y}{d x} = 2 + e^{- 2 x + y + 1}