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人気のある微分積分 >

limit as x approaches 3+of (3-x)*ln(x-3)

解

x \to 3 + lim ((3 - x) \cdot ln (x - 3))

解

0

解答ステップ

x \to 3 + lim ((3 - x) ln (x - 3))

ロピタル向けに書き換える

= x \to 3 + lim (\frac{ln ( - 3 + x )}{\frac{1}{3 - x}})

ロピタルの定理を適用する

= x \to 3 + lim (\frac{\frac{1}{- 3 + x}}{\frac{1}{( 3 - x ) ^{2}}})

簡素化

\frac{\frac{1}{- 3 + x}}{\frac{1}{( 3 - x ) ^{2}}} : x - 3

= x \to 3 + lim (x - 3)

値を挿入する

x = 3

= 3 - 3

簡素化

= 0

グラフ

人気の例

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