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 0+of (4x)^{3x}

解

x \to 0 + lim ((4 x)^{3 x})

解

1

解答ステップ

x \to 0 + lim ((4 x)^{3 x})

簡素化

(4 x)^{3 x} : 6 4^{x} x^{3 x}

= x \to 0 + lim (6 4^{x} x^{3 x})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

不定形式の場合を除く

= x \to 0 + lim (6 4^{x}) \cdot x \to 0 + lim (x^{3 x})

x \to 0 + lim (6 4^{x}) = 1

x \to 0 + lim (x^{3 x}) = 1

= 1 \cdot 1

簡素化

= 1

グラフ

人気の例

limit as n approaches 0 of (1+1/n)^n

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

limit as x approaches-1 of 2x-x^5

x \to - 1 lim (2 x - x^{5})

limit as x approaches o of xln(x)

x \to o lim (x ln (x))

limit as x approaches 2 of sqrt(x-1)+3

x \to 2 lim (x - 1 + 3)

limit as x approaches infinity of 10/0

x \to \infty lim (\frac{10}{0})