limit as h approaches 0 of ((1+h)^3-1)/h

解答

h \to 0 lim (\frac{( 1 + h ) ^{3} - 1}{h})

3

求解步骤

h \to 0 lim (\frac{( 1 + h ) ^{3} - 1}{h})

化简

\frac{( 1 + h ) ^{3} - 1}{h} : h^{2} + 3 h + 3

= h \to 0 lim (h^{2} + 3 h + 3)

代入值

h = 0

= 0^{2} + 3 \cdot 0 + 3

化简

= 3

\int \frac{1}{1 + cos ( x )} d x

\frac{d}{d x} (5 x 64 - x^{2})

p a r t ia l f r a c t i o n \frac{x}{1 - x ^{2}}

f (x) = 8 x

\frac{d}{d x} (lo g_{3} (x e^{x}))