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人気のある微分積分 >

limit as x approaches 4+of (4-x)*ln(x-4)

解

x \to 4 + lim ((4 - x) \cdot ln (x - 4))

解

0

解答ステップ

x \to 4 + lim ((4 - x) ln (x - 4))

ロピタル向けに書き換える

= x \to 4 + lim (\frac{ln ( - 4 + x )}{\frac{1}{4 - x}})

ロピタルの定理を適用する

= x \to 4 + lim (\frac{\frac{1}{- 4 + x}}{\frac{1}{( 4 - x ) ^{2}}})

簡素化

\frac{\frac{1}{- 4 + x}}{\frac{1}{( 4 - x ) ^{2}}} : x - 4

= x \to 4 + lim (x - 4)

値を挿入する

x = 4

= 4 - 4

簡素化

= 0

グラフ

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