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

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

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

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

- \infty

Solution steps

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

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

= - \infty

x \to 3 lim (\frac{( x ^{2} - 2 x - 3 )}{x ^{2} - 9})

y^{^{'}} (x^{2} + 2) + 4 x (y^{2} + 2 y + 1) = 0

(1 + cos (5 t))^{- 4}

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

\int \frac{- 5 e ^{- 5 x}}{( e ^{- 5 x} + 3 ) ^{3}} d x

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