Calculus Examples

$lim_{x \to \infty} 1 + 2 x^{2} - x^{3}$

Step 1

Simplify the expression.

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Step 1.1

Reorder $1$ and $2 x^{2}$ .

$lim_{x \to \infty} 2 x^{2} + 1 - x^{3}$

Step 1.2

Move $1$ .

$lim_{x \to \infty} 2 x^{2} - x^{3} + 1$

Step 1.3

Reorder $2 x^{2}$ and $- x^{3}$ .

$lim_{x \to \infty} - x^{3} + 2 x^{2} + 1$

Step 2

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

$- \infty$