What is the limit as x approaches 0 of (x-6)/(x^2) ?

The limit as x approaches 0 of (x-6)/(x^2) is -infinity

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limit as x approaches 0 of (x-6)/(x^2)

x \to 0 lim (\frac{x - 6}{x ^{2}})

- \infty

Solution steps

x \to 0 lim (\frac{x - 6}{x ^{2}})

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

x \to 0 + lim (\frac{x - 6}{x ^{2}}) = - \infty

= - \infty

x \to - \infty lim (2 + 5 e^{x})

x \to 0 + lim (x^{3 x})

x \to 0 lim ((e^{x} - 1) cot (x))

x \to 2 π lim (e^{c o s (x)})

x \to 3 lim (5 x^{2} + 4)

What is the limit as x approaches 0 of (x-6)/(x^2) ?
The limit as x approaches 0 of (x-6)/(x^2) is -infinity