Calculus Examples

$lim_{x \to 0} x - \frac{10}{x}$

Step 1

Combine terms.

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Step 1.1

To write $x$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$lim_{x \to 0} \frac{x \cdot x}{x} - \frac{10}{x}$

Step 1.2

Combine the numerators over the common denominator.

$lim_{x \to 0} \frac{x \cdot x - 10}{x}$

Step 2

Since the function approaches $\infty$ from the left and $- \infty$ from the right, the limit does not exist.

$Does not exist$