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-i of (x^4-1)/(x+i)

解

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

解

4 i

解答ステップ

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

分母を有理化する

\frac{x ^{4} - 1}{x + i} : (x^{3} - x) + i (1 - x^{2})

= x \to - i lim (x^{3} - x + i (1 - x^{2}))

値を挿入する

x = - i

= (- i)^{3} - (- i) + i (1 - (- i)^{2})

簡素化

(- i)^{3} - (- i) + i (1 - (- i)^{2}) : 4 i

= 4 i

グラフ

人気の例

limit as y approaches 0 of (ysin(y))/(11y^2)

y \to 0 lim (\frac{y sin ( y )}{11 y ^{2}})

limit as x approaches 45 of sin(x)

x \to 45 lim (sin (x))

limit as x approaches infinity of 5^x-1

x \to \infty lim (5^{x} - 1)

limit as x approaches 6 of (x-3)/(x+8)

x \to 6 lim (\frac{x - 3}{x + 8})

limit as x approaches 0 of x^{tan(x^2)}

x \to 0 lim (x^{t a n (x^{2})})