Calculus Examples

$lim_{x \to 7} \frac{(x - 7) - (0)}{x - 7}$

Step 1

Simplify terms.

Tap for more steps...

Step 1.1

Multiply $- 1$ by $0$ .

$lim_{x \to 7} \frac{x - 7 + 0}{x - 7}$

Step 1.2

Simplify the limit argument.

Tap for more steps...

Step 1.2.1

Add $x$ and $0$ .

$lim_{x \to 7} \frac{x - 7}{x - 7}$

Step 1.2.2

Cancel the common factor of $x - 7$ .

Tap for more steps...

Step 1.2.2.1

Cancel the common factor.

$lim_{x \to 7} \frac{x - 7}{x - 7}$

Step 1.2.2.2

Rewrite the expression.

$lim_{x \to 7} 1$

Step 2

Evaluate the limit of $1$ which is constant as $x$ approaches $7$ .

$1$