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 4 of (4-sqrt(4+3x))/(4-x)

解

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

解

\frac{3}{8}

+1

十進法表記

0.375

解答ステップ

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

4 - 4 + 3 x

の共役で乗じる

\frac{- 3 x + 12}{4 + 4 + 3 x}

= x \to 4 lim (\frac{\frac{- 3 x + 12}{4 + 4 + 3 x}}{4 - x})

簡素化

\frac{\frac{- 3 x + 12}{4 + 4 + 3 x}}{4 - x} : \frac{3}{4 + 3 x + 4}

= x \to 4 lim (\frac{3}{4 + 3 x + 4})

値を挿入する

x = 4

= \frac{3}{4 + 3 \cdot 4 + 4}

簡素化

\frac{3}{4 + 3 \cdot 4 + 4} : \frac{3}{8}

= \frac{3}{8}

グラフ

人気の例

limit as x approaches-1+of 2^{1/(x+1)}

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

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

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

limit as x approaches 1/8 of 1/x+x-1

x \to \frac{1}{8} lim (\frac{1}{x} + x - 1)

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

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

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

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