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 θ approaches 0 of sin(θ)cot(2θ)

解

θ \to 0 lim (sin (θ) cot (2 θ))

解

\frac{1}{2}

+1

十進法表記

0.5

解答ステップ

θ \to 0 lim (sin (θ) cot (2 θ))

ロピタル向けに書き換える

= θ \to 0 lim (\frac{sin ( θ )}{\frac{1}{c o t ( 2 θ )}})

ロピタルの定理を適用する

= θ \to 0 lim (\frac{cos ( θ )}{sec ^{2} ( 2 θ ) \cdot 2})

値を挿入する

θ = 0

= \frac{cos ( 0 )}{sec ^{2} ( 2 \cdot 0 ) \cdot 2}

簡素化

\frac{cos ( 0 )}{sec ^{2} ( 2 \cdot 0 ) \cdot 2} : \frac{1}{2}

= \frac{1}{2}

グラフ

人気の例

limit as x approaches 0+of tan(9x)

x \to 0 + lim (tan (9 x))

limit as x approaches 1 of (9x^8)/(5x^4)

x \to 1 lim (\frac{9 x ^{8}}{5 x ^{4}})

limit as x approaches infinity of (sin(x))/(x^4)

x \to \infty lim (\frac{sin ( x )}{x ^{4}})

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

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

limit as x approaches 2+of (x+1)/(x^2-5x+6)

x \to 2 + lim (\frac{x + 1}{x ^{2} - 5 x + 6})