What is the limit as x approaches 0 of (x-2)/(x^4) ?

The limit as x approaches 0 of (x-2)/(x^4) is -infinity

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limit as x approaches 0 of (x-2)/(x^4)

x \to 0 lim (\frac{x - 2}{x ^{4}})

- \infty

Solution steps

x \to 0 lim (\frac{x - 2}{x ^{4}})

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{x - 2}{x ^{4}}) = - \infty

x \to 0 + lim (\frac{x - 2}{x ^{4}}) = - \infty

= - \infty

x \to 0 + lim ((- 6 ln (x))^{x})

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

x \to 4 lim (\frac{- 4 x ^{2} + 16 x}{x ^{3} - 3 x ^{2} - 4 x})

n \to \infty lim ((- 2)^{n})

x \to \infty + lim (sin (x))

What is the limit as x approaches 0 of (x-2)/(x^4) ?
The limit as x approaches 0 of (x-2)/(x^4) is -infinity