化简 (ln(1.001))/(1.001-1)

解答

化简

\frac{ln ( 1.001 )}{1.001 - 1}

0.99950 \dots

求解步骤

\frac{ln ( 1.001 )}{1.001 - 1}

数字相减:

1.001 - 1 = 0.001

= \frac{ln ( 1.001 )}{0.001}

数字相除:

\frac{1}{0.001} = 1000

= 1000 ln (1.001)

化简

ln (1.001) : 0.00099 \dots

= 1000 \cdot 0.00099 \dots

数字相乘:

1000 \cdot 0.00099 \dots = 0.99950 \dots

= 0.99950 \dots

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