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

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

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

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

- \infty

Solution steps

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

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

= - \infty

\frac{3 x - 8}{x}

\frac{d}{d x} (\frac{e ^{x} + e ^{- x}}{2})

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = - 3, y^{^{'}} (0) = - \frac{29}{2}

f (x) = - \frac{13}{x ^{4}}

\int_{0}^{6} k (6 - x)

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