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人気のある微分積分 >

limit as t approaches 0 of (7^t-6^t)/t

解

t \to 0 lim (\frac{7 ^{t} - 6 ^{t}}{t})

解

ln (7) - ln (6)

+1

十進法表記

0.15415 \dots

解答ステップ

t \to 0 lim (\frac{7 ^{t} - 6 ^{t}}{t})

ロピタルの定理を適用する

= t \to 0 lim (\frac{7 ^{t} ln ( 7 ) - 6 ^{t} ln ( 6 )}{1})

値を挿入する

t = 0

= \frac{7 ^{0} ln ( 7 ) - 6 ^{0} ln ( 6 )}{1}

簡素化

\frac{7 ^{0} ln ( 7 ) - 6 ^{0} ln ( 6 )}{1} : ln (7) - ln (6)

= ln (7) - ln (6)

グラフ

人気の例

limit as x approaches 0 of (4x+1)^{1/x}

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