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

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

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limit as x approaches 3 of 1/(x-4)

x \to 3 lim (\frac{1}{x - 4})

- 1

Solution steps

x \to 3 lim (\frac{1}{x - 4})

Plug in the value

x = 3

= \frac{1}{3 - 4}

Simplify

= - 1

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

x \to 4 lim (- x)

x \to 0 lim (5 sin (x) - 1)

x \to 2 lim (x^{2} + 7 x + 12)

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

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