What is the limit as x approaches-infinity of 1-x^2 ?

The limit as x approaches-infinity of 1-x^2 is -infinity

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limit as x approaches-infinity of 1-x^2

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

- \infty

Solution steps

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

Apply Infinity Property:

x \to \pm \infty lim (a x^{n} + \dots + b x + c) = - \infty, a < 0,

n is even

a = - 1, n = 2

= - \infty

x \to 0 + lim (x^{2} \cdot ln (4 x^{2}))

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

t \to 0 lim (\frac{2 sin ( 4 t )}{t})

x \to \infty lim (3 x^{2} - 1)

x \to 4 lim (5 x - 7)

What is the limit as x approaches-infinity of 1-x^2 ?
The limit as x approaches-infinity of 1-x^2 is -infinity