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人気のある微分積分 >

limit as x approaches 1 of (x^3-1)/(x-1)

解

x \to 1 lim (\frac{x ^{3} - 1}{x - 1})

解

3

解答ステップ

x \to 1 lim (\frac{x ^{3} - 1}{x - 1})

簡素化

\frac{x ^{3} - 1}{x - 1} : x^{2} + x + 1

= x \to 1 lim (x^{2} + x + 1)

値を挿入する

x = 1

= 1^{2} + 1 + 1

簡素化

= 3

グラフ

人気の例

integral of (1/5)^x

\int (\frac{1}{5})^{x} d x

(\partial)/(\partial x)(arcsin(6xyz))

\frac{\partial}{\partial x} (arcsin (6 x yz))

derivative (3t+4)*sin(pi(t/3-0.5))

d er i v a t i v e (3 t + 4) \cdot sin (π (\frac{t}{3} - 0.5))

y^{''}-y^'-12y=-5,y(0)=0,y^'(0)=0

y^{^{''}} - y^{^{'}} - 12 y = - 5, y (0) = 0, y^{^{'}} (0) = 0

limit as x approaches 2-of x/(2-x)

x \to 2 - lim (\frac{x}{2 - x})