Calculus Examples

$lim_{t \to - 2} \frac{5 t}{t + 2} + \frac{10}{t + 2}$

Step 1

Combine fractions using a common denominator.

Tap for more steps...

Step 1.1

Combine the numerators over the common denominator.

$lim_{t \to - 2} \frac{5 t + 10}{t + 2}$

Step 1.2

Factor $5$ out of $5 t + 10$ .

Tap for more steps...

Step 1.2.1

Factor $5$ out of $5 t$ .

$lim_{t \to - 2} \frac{5 (t) + 10}{t + 2}$

Step 1.2.2

Factor $5$ out of $10$ .

$lim_{t \to - 2} \frac{5 t + 5 \cdot 2}{t + 2}$

Step 1.2.3

Factor $5$ out of $5 t + 5 \cdot 2$ .

$lim_{t \to - 2} \frac{5 (t + 2)}{t + 2}$

Step 1.3

Cancel the common factor of $t + 2$ .

Tap for more steps...

Step 1.3.1

Cancel the common factor.

$lim_{t \to - 2} \frac{5 (t + 2)}{t + 2}$

Step 1.3.2

Divide $5$ by $1$ .

$lim_{t \to - 2} 5$

Step 2

Evaluate the limit of $5$ which is constant as $t$ approaches $- 2$ .

$5$