What is the limit as x approaches 0 of |x^2-1| ?

The limit as x approaches 0 of |x^2-1| is 1

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limit as x approaches 0 of |x^2-1|

x \to 0 lim (x^{2} - 1)

1

Solution steps

x \to 0 lim (x^{2} - 1)

Plug in the value

x = 0

= 0^{2} - 1

Simplify

0^{2} - 1 : 1

= 1

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What is the limit as x approaches 0 of |x^2-1| ?
The limit as x approaches 0 of |x^2-1| is 1