What is the limit as x approaches 1.001 of x^2-2x-1 ?

The limit as x approaches 1.001 of x^2-2x-1 is -1.999999

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limit as x approaches 1.001 of x^2-2x-1

x \to 1.001 lim (x^{2} - 2 x - 1)

- 1.999999

Solution steps

x \to 1.001 lim (x^{2} - 2 x - 1)

Plug in the value

x = 1.001

= 1.00 1^{2} - 2 \cdot 1.001 - 1

Simplify

= - 1.999999

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What is the limit as x approaches 1.001 of x^2-2x-1 ?
The limit as x approaches 1.001 of x^2-2x-1 is -1.999999