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人気のある微分積分 >

limit as x approaches 0+of 6xln(x)

解

x \to 0 + lim (6 x ln (x))

解

0

解答ステップ

x \to 0 + lim (6 x ln (x))

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

= 6 \cdot x \to 0 + lim (x ln (x))

ロピタル向けに書き換える

= 6 \cdot x \to 0 + lim (\frac{ln ( x )}{\frac{1}{x}})

ロピタルの定理を適用する

= 6 \cdot x \to 0 + lim (\frac{\frac{1}{x}}{- \frac{1}{x ^{2}}})

簡素化

\frac{\frac{1}{x}}{- \frac{1}{x ^{2}}} : - x

= 6 \cdot x \to 0 + lim (- x)

値を挿入する

x = 0

= 6 (- 0)

簡素化

= 0

グラフ

人気の例

limit as x approaches 4 of (x^3-8x^2+18x-8)/(x-4)

x \to 4 lim (\frac{x ^{3} - 8 x ^{2} + 18 x - 8}{x - 4})

limit as x approaches 0-of 1/(cos(x))

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limit as x approaches-1+of (ln(x+1))/x

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

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

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