What is the limit as x approaches 0 of-1/(|x|) ?

The limit as x approaches 0 of-1/(|x|) is -infinity

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limit as x approaches 0 of-1/(|x|)

x \to 0 lim (- \frac{1}{∣ x ∣})

- \infty

Solution steps

x \to 0 lim (- \frac{1}{∣ x ∣})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (- \frac{1}{∣ x ∣}) = - \infty

x \to 0 + lim (- \frac{1}{∣ x ∣}) = - \infty

= - \infty

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

x \to 0 lim ((12 + x)^{x})

x \to - 1 lim (3 x + 2)

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

x \to 0 lim (\frac{tan ^{2} ( 4 x )}{1 - cos ( 5 x )})

What is the limit as x approaches 0 of-1/(|x|) ?
The limit as x approaches 0 of-1/(|x|) is -infinity