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人気のある微分積分 >

limit as x approaches 0+of 8xln(x)

解

x \to 0 + lim (8 x ln (x))

解

0

解答ステップ

x \to 0 + lim (8 x ln (x))

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

= 8 \cdot x \to 0 + lim (x ln (x))

ロピタル向けに書き換える

= 8 \cdot x \to 0 + lim (\frac{ln ( x )}{\frac{1}{x}})

ロピタルの定理を適用する

= 8 \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

= 8 \cdot x \to 0 + lim (- x)

値を挿入する

x = 0

= 8 (- 0)

簡素化

= 0

グラフ

人気の例

limit as x approaches 0+of sqrt(1-4x)

x \to 0 + lim (1 - 4 x)

limit as x approaches 8+of 4x-1

x \to 8 + lim (4 x - 1)

limit as x approaches-2 of-f(x)

x \to - 2 lim (- f (x))

limit as t approaches 0 of t

t \to 0 lim (t)

limit as x approaches-5+of 3/(x+5)

x \to - 5 + lim (\frac{3}{x + 5})