Calculus Examples

$\frac{lim_{x \to 3} x - 3}{9 - 9}$

Step 1

Evaluate the limit.

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Step 1.1

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $3$ .

$\frac{lim_{x \to 3} x - lim_{x \to 3} 3}{9 - 9}$

Step 1.2

Evaluate the limit of $3$ which is constant as $x$ approaches $3$ .

$\frac{lim_{x \to 3} x - 1 \cdot 3}{9 - 9}$

Step 2

Evaluate the limit of $x$ by plugging in $3$ for $x$ .

$\frac{3 - 1 \cdot 3}{9 - 9}$

Step 3

Simplify the answer.

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Step 3.1

Subtract $9$ from $9$ .

$\frac{3 - 1 \cdot 3}{0}$

Step 3.2

The expression contains a division by $0$ . The expression is undefined.

Undefined

$\frac{3 - 1 \cdot 3}{0}$

Step 4

The expression contains a division by $0$ . The expression is undefined.

Undefined