What is the limit as x approaches infinity of 4-x^2 ?

The limit as x approaches infinity of 4-x^2 is -infinity

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limit as x approaches infinity of 4-x^2

x \to \infty lim (4 - x^{2})

- \infty

Solution steps

x \to \infty lim (4 - 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

\frac{d}{d x} (2 sec (3 x^{2}))

y = (x^{3} - 9 x)^{12}

x \to \frac{x}{8} lim (tan (24 \cdot x))

\int csc^{4} (4 x) d x

\frac{d}{d x} ((4 - x)^{2})

What is the limit as x approaches infinity of 4-x^2 ?
The limit as x approaches infinity of 4-x^2 is -infinity