What is the limit as x approaches-3 of (x^2-2)/(x-4) ?

The limit as x approaches-3 of (x^2-2)/(x-4) is -1

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limit as x approaches-3 of (x^2-2)/(x-4)

x \to - 3 lim (\frac{x ^{2} - 2}{x - 4})

- 1

Solution steps

x \to - 3 lim (\frac{x ^{2} - 2}{x - 4})

Plug in the value

x = - 3

= \frac{( - 3 ) ^{2} - 2}{- 3 - 4}

Simplify

\frac{( - 3 ) ^{2} - 2}{- 3 - 4} : - 1

= - 1

x \to - 2 lim (3 x - 4 x^{2})

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

x \to 6 - lim (\frac{2 x}{x ^{2} - 36})

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

x \to 1 + lim (\frac{3 x + 1}{x - 1})

What is the limit as x approaches-3 of (x^2-2)/(x-4) ?
The limit as x approaches-3 of (x^2-2)/(x-4) is -1