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

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

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limit as x approaches infinity of x-x^2

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

- \infty

Solution steps

x \to \infty lim (x - 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 3 lim (sin (x - 1))

\int x^{4} e^{x} d x

n = 0 \sum \infty (x + 4)^{n}

7 x + 4, at a = 3

\frac{d}{d θ} (ln (θ))

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