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

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

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limit as x approaches 0 of (|x|)/(x^2)

x \to 0 lim (\frac{∣ x ∣}{x ^{2}})

\infty

Solution steps

x \to 0 lim (\frac{∣ x ∣}{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 ∣}{x ^{2}}) = \infty

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

= \infty

\int \frac{1}{a + b x} d x

\int \frac{1}{7 + x ^{2}} d x

(e^{x} + 1) \frac{d y}{d x} = y - y e^{x}

x \to 0 lim (\frac{cot ( x )}{x})

y = 3 - 2 x^{2}, (- 4, - 29)

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