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

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

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

y \to 0 lim (\frac{- 1}{∣ y ∣})

- \infty

Solution steps

y \to 0 lim (\frac{- 1}{∣ y ∣})

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

then

x \to a lim f (x) = L

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

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

= - \infty

x \to \infty lim ((\frac{4 x ^{3} - 1}{3 x ^{2} + 2}) sin (\frac{1}{x}))

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

x \to 0 lim (x ln (x^{4}))

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

x \to 0 lim (\frac{3 x - sin ( x )}{x})

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