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 -7

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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})

- 7

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} : - 7

= - 7

x \to 0 lim (tan (\frac{3 π}{4}))

x \to - 3 lim (\frac{x + 5}{x ^{2} - 9})

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

x \to 0 lim (ln (5 x^{2}))

x \to 0 lim (x^{2} csc^{2} (3 x))

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 -7