Calculus Examples

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

Step 1

Simplify the expression.

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Step 1.1

Reorder $5$ and $3 x^{2}$ .

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

Step 1.2

Move $5$ .

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

Step 2

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

$\infty$