Calculus Examples

$lim_{x \to \infty} 3 + 2 x - 5 x^{2}$

Step 1

Simplify the expression.

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Step 1.1

Reorder $3$ and $2 x$ .

$lim_{x \to \infty} 2 x + 3 - 5 x^{2}$

Step 1.2

Move $3$ .

$lim_{x \to \infty} 2 x - 5 x^{2} + 3$

Step 1.3

Reorder $2 x$ and $- 5 x^{2}$ .

$lim_{x \to \infty} - 5 x^{2} + 2 x + 3$

Step 2

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

$- \infty$