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

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

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

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

0

Solution steps

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

Plug in the value

x = 1

= 1^{2} - 1

Simplify

1^{2} - 1 : 0

= 0

x \to - \infty lim (- \frac{5}{x})

x \to 0 lim (\frac{( 1 - cos ( x ) )}{3 x ^{2}})

x \to 4 lim (\frac{4 - 4 + 3 x}{4 - x})

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

x \to 25 lim (5 - x)

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