簡約 (ln(0.99))/(0.99-1)

解

簡約

\frac{ln ( 0.99 )}{0.99 - 1}

1.00503 \dots

解答ステップ

\frac{ln ( 0.99 )}{0.99 - 1}

数を引く:

0.99 - 1 = - 0.01

= \frac{ln ( 0.99 )}{- 0.01}

分数の規則を適用する:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{ln ( 0.99 )}{0.01}

数を割る:

\frac{1}{0.01} = 100

= - 100 ln (0.99)

簡素化

ln (0.99) : - 0.01005 \dots

= - 100 (- 0.01005 \dots)

簡素化

= 1.00503 \dots