Calculus Examples

$lim_{x \to \infty} \frac{x^{2}}{e x}$

Step 1

Cancel the common factor of $x^{2}$ and $x$ .

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Step 1.1

Factor $x$ out of $x^{2}$ .

$lim_{x \to \infty} \frac{x \cdot x}{e x}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $x$ out of $e x$ .

$lim_{x \to \infty} \frac{x \cdot x}{x e}$

Step 1.2.2

Cancel the common factor.

$lim_{x \to \infty} \frac{x \cdot x}{x e}$

Step 1.2.3

Rewrite the expression.

$lim_{x \to \infty} \frac{x}{e}$

Step 2

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

$\infty$