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

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

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

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

- 1

Solution steps

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

Plug in the value

x = 2

= \frac{2 ^{2} - 3}{2 - 3}

Simplify

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

= - 1

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

x \to \infty lim (x^{2} - 16)

x \to 0 lim (\frac{∣ x ∣ + x}{x})

x \to - 3 lim (\frac{x}{x ^{2} + x - 6})

x \to - 1 lim (- (f (x)))

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