Calculus Examples

$lim_{x \to \infty} 5 + x - x^{2}$

Step 1

Simplify the expression.

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Step 1.1

Reorder $5$ and $x$ .

$lim_{x \to \infty} x + 5 - x^{2}$

Step 1.2

Move $5$ .

$lim_{x \to \infty} x - x^{2} + 5$

Step 1.3

Reorder $x$ and $- x^{2}$ .

$lim_{x \to \infty} - x^{2} + x + 5$

Step 2

The limit at infinity of a polynomial whose leading coefficient is negative is negative infinity.

$- \infty$