Calculus Examples

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

Step 1

Simplify the expression.

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Step 1.1

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

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

Step 1.2

Move $3$ .

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

Step 2

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

$\infty$