ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

limit as x approaches+1 of (x-1)/(x^6-1)

解

x \to + 1 lim (\frac{x - 1}{x ^{6} - 1})

解

\frac{1}{6}

+1

十進法表記

0.16666 \dots

解答ステップ

x \to 1 lim (\frac{x - 1}{x ^{6} - 1})

簡素化

\frac{x - 1}{x ^{6} - 1} : \frac{1}{( x + 1 ) ( x ^{4} + x ^{2} + 1 )}

= x \to 1 lim (\frac{1}{( x + 1 ) ( x ^{4} + x ^{2} + 1 )})

値を挿入する

x = 1

= \frac{1}{( 1 + 1 ) ( 1 ^{4} + 1 ^{2} + 1 )}

簡素化

= \frac{1}{6}

グラフ

人気の例

limit as x approaches 0 of (3x)/(sin(10x))

x \to 0 lim (\frac{3 x}{sin ( 10 x )})

(\partial)/(\partial x)(3(y-1)^3(x-6))

\frac{\partial}{\partial x} (3 (y - 1)^{3} (x - 6))

integral of (x^3)/(x^2+4x+4)

\int \frac{x ^{3}}{x ^{2} + 4 x + 4} d x

integral of (x-1)^2-4

\int (x - 1)^{2} - 4 d x

integral of (x+1)(x+2)

\int (x + 1) (x + 2) d x