limit as x approaches 2 of (x^3-8)/(2-x)

解答

x \to 2 lim (\frac{x ^{3} - 8}{2 - x})

- 12

求解步骤

x \to 2 lim (\frac{x ^{3} - 8}{2 - x})

化简

\frac{x ^{3} - 8}{2 - x} : - x^{2} - 2 x - 4

= x \to 2 lim (- x^{2} - 2 x - 4)

代入值

x = 2

= - 2^{2} - 2 \cdot 2 - 4

化简

= - 12

\int \frac{u ^{2}}{u ^{2} + 1} d u

k = 1 \sum \infty \frac{k}{2 ^{k}}

\frac{d}{d x} (cosh (x^{2}))

d er i v a t i v e 5 (9 x^{7} + 3 x^{4} - 2)^{3}

\frac{\partial}{\partial p} (p^{3} q^{2} + 2 pq + \frac{p}{q})