Calculus Examples

$lim_{x \to 2} 3 x + 2$

Step 1

Evaluate the limit.

Tap for more steps...

Step 1.1

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $2$ .

$lim_{x \to 2} 3 x + lim_{x \to 2} 2$

Step 1.2

Move the term $3$ outside of the limit because it is constant with respect to $x$ .

$3 lim_{x \to 2} x + lim_{x \to 2} 2$

Step 1.3

Evaluate the limit of $2$ which is constant as $x$ approaches $2$ .

$3 lim_{x \to 2} x + 2$

Step 2

Evaluate the limit of $x$ by plugging in $2$ for $x$ .

$3 \cdot 2 + 2$

Step 3

Simplify the answer.

Tap for more steps...

Step 3.1

Multiply $3$ by $2$ .

$6 + 2$

Step 3.2

Add $6$ and $2$ .

$8$