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

The limit as x approaches-4 of 1/(x-4) is -1/8

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

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

- \frac{1}{8}

Decimal

- 0.125

Solution steps

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

Plug in the value

x = - 4

= \frac{1}{- 4 - 4}

Simplify

= - \frac{1}{8}

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

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

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

x \to 1 lim (\frac{ln ( x )}{4 ^{l n (x)} - x})

x \to 0 + lim (1 + e^{\frac{1}{x}})

What is the limit as x approaches-4 of 1/(x-4) ?
The limit as x approaches-4 of 1/(x-4) is -1/8