(a-1)/(1-(1/a))

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Solution for (a-1)/(1-(1/a)) equation: 


D( a )

1-(1/a) = 0

a = 0

1-(1/a) = 0

1-(1/a) = 0

1-a^-1 = 0

-1*a^-1 = -1 // : -1

a^-1 = 1

-1 < 0

1/(a^1) = 1 // * a^1

1 = 1*a^1 // : 1

1 = a^1

a = 1

a = 0

a = 0

a in (-oo:0) U (0:1) U (1:+oo)

(a-1)/(1-(1/a)) = 0

(a-1)/(1-a^-1) = 0

a-1 = 0 // + 1

a = 1

a in { 1} 

a belongs to the empty set

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