Calculus Examples

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

Step 1

Simplify the expression.

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Step 1.1

Reorder $2$ and $5 x$ .

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

Step 1.2

Move $2$ .

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

Step 1.3

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

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

Step 2

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

$\infty$