What is the limit as x approaches 0 of (1-x^2)/(x^2) ?

The limit as x approaches 0 of (1-x^2)/(x^2) is infinity

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limit as x approaches 0 of (1-x^2)/(x^2)

x \to 0 lim (\frac{1 - x ^{2}}{x ^{2}})

\infty

Solution steps

x \to 0 lim (\frac{1 - x ^{2}}{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{1 - x ^{2}}{x ^{2}}) = \infty

x \to 0 + lim (\frac{1 - x ^{2}}{x ^{2}}) = \infty

= \infty

x \to 2 lim (x^{3} + 3 x + 15)

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

x \to - 2 lim (\frac{2 - ∣ x ∣}{x + 2})

x \to 0 lim (\frac{ln ( x - 1 )}{x})

x \to 0 lim (cot (x) sin (x))

What is the limit as x approaches 0 of (1-x^2)/(x^2) ?
The limit as x approaches 0 of (1-x^2)/(x^2) is infinity