What is (ln(1.01))/(1.01-1) ?

The solution to (ln(1.01))/(1.01-1) is 0.99503…

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simplify (ln(1.01))/(1.01-1)

simplify

\frac{ln ( 1.01 )}{1.01 - 1}

0.99503 \dots

Solution steps

\frac{ln ( 1.01 )}{1.01 - 1}

Subtract the numbers:

1.01 - 1 = 0.01

= \frac{ln ( 1.01 )}{0.01}

Divide the numbers:

\frac{1}{0.01} = 100

= 100 ln (1.01)

Simplify

ln (1.01) : 0.00995 \dots

= 100 \cdot 0.00995 \dots

Multiply the numbers:

100 \cdot 0.00995 \dots = 0.99503 \dots

= 0.99503 \dots

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