[1-{1-(1-n)^-1}^-1]^-1

asked by guest
on Sep 21, 2024 at 6:32 pm



You asked:

Evaluate the expression: \({\left( 1 - {\left( 1 - {\left( 1 - n \right)}^{-1} \right)}^{-1} \right)}^{-1}\)

MathBot Answer:

\[{\left( 1 - {\left( 1 - {\left( 1 - n \right)}^{-1} \right)}^{-1} \right)}^{-1} = \frac{1}{1 - \frac{1}{1 - \frac{1}{1 - n}}}\]

Factored

\[{\left( 1 - {\left( 1 - {\left( 1 - n \right)}^{-1} \right)}^{-1} \right)}^{-1} = n\]

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