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人気のある微分積分 >

limit as t approaches 0 of (sin(-3t))/t

解

t \to 0 lim (\frac{sin ( - 3 t )}{t})

解

- 3

解答ステップ

t \to 0 lim (\frac{sin ( - 3 t )}{t})

ロピタルの定理を適用する

= t \to 0 lim (\frac{- cos ( 3 t ) \cdot 3}{1})

値を挿入する

t = 0

= \frac{- cos ( 3 \cdot 0 ) \cdot 3}{1}

簡素化

\frac{- cos ( 3 \cdot 0 ) \cdot 3}{1} : - 3

= - 3

グラフ

人気の例

limit as x approaches 0-of x^2*ln(-x)

x \to 0 - lim (x^{2} \cdot ln (- x))

limit as x approaches 0 of (1/x)(1/3-1/(sqrt(x+9)))

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

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