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人気のある微分積分 >

limit as x approaches 1 of (x-1)/(x^4-1)

解

x \to 1 lim (\frac{x - 1}{x ^{4} - 1})

解

\frac{1}{4}

+1

十進法表記

0.25

解答ステップ

x \to 1 lim (\frac{x - 1}{x ^{4} - 1})

簡素化

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

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

値を挿入する

x = 1

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

簡素化

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

= \frac{1}{4}

グラフ

人気の例

limit as x approaches 0 of (1+1/x)^2

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

limit as x approaches 3 of x/(x^2-4x+3)

x \to 3 lim (\frac{x}{x ^{2} - 4 x + 3})

limit as x approaches 0 of ((x^2))/x

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

limit as x approaches 0 of 400x+104000

x \to 0 lim (400 x + 104000)

limit as x approaches 3-of x+5

x \to 3 - lim (x + 5)