What is the limit as x approaches 2 of (1-x^2)/(1-x) ?

The limit as x approaches 2 of (1-x^2)/(1-x) is 3

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limit as x approaches 2 of (1-x^2)/(1-x)

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

3

Solution steps

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

Plug in the value

x = 2

= \frac{1 - 2 ^{2}}{1 - 2}

Simplify

\frac{1 - 2 ^{2}}{1 - 2} : 3

= 3

x \to - 3 + lim (x x + 3)

y = ∣ x ∣, y = x^{2} - 2

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\int \frac{x + 17}{x ^{2} + 16 x + 68} d x

What is the limit as x approaches 2 of (1-x^2)/(1-x) ?
The limit as x approaches 2 of (1-x^2)/(1-x) is 3