(1-x^-2)/(1-x^-1)

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Solution for (1-x^-2)/(1-x^-1) equation: 


D( x )

x = 0

1-x^-1 = 0

x = 0

x = 0

1-x^-1 = 0

1-x^-1 = 0

-1*x^-1 = -1 // : -1

x^-1 = 1

-1 < 0

1/(x^1) = 1 // * x^1

1 = 1*x^1 // : 1

1 = x^1

x = 1

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

(1-x^-2)/(1-x^-1) = 0

-1*x^-2 = -1 // : -1

x^-2 = 1

-2 < 0

1/(x^2) = 1 // * x^2

1 = 1*x^2 // : 1

1 = x^2

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 1} 

x = -1

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