Calculus Examples

$lim_{x \to 0} \frac{6 x}{x^{4}}$

Step 1

Cancel the common factor of $x$ and $x^{4}$ .

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Step 1.1

Factor $x$ out of $6 x$ .

$lim_{x \to 0} \frac{x \cdot 6}{x^{4}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $x$ out of $x^{4}$ .

$lim_{x \to 0} \frac{x \cdot 6}{x \cdot x^{3}}$

Step 1.2.2

Cancel the common factor.

$lim_{x \to 0} \frac{x \cdot 6}{x \cdot x^{3}}$

Step 1.2.3

Rewrite the expression.

$lim_{x \to 0} \frac{6}{x^{3}}$

Step 2

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

$Does not exist$