limit as x approaches 3 of -3x-6 — step-by-step solution

Let's evaluate the limit of

- 3 x - 6

when

x \to 3

ⓘ The limit of a product of finite limits is the product of the limits

The limit of

- 3 x

- 3 \cdot 3

when

x \to 3

⇥Let's calculate:

- 3 \cdot 3

⇥ⓘ A single minus sign does not cancel out, the product of a negative number by a positive number is negative:

- 3 \cdot 3

-9

⇥

-9

ⓘ The limit of a sum of finite limits is the sum of the limits

So the limit of

- 3 x - 6

- 9 - 6

when

x \to 3

⇥Let's calculate:

- 9 - 6

ⓘ Start from

-9

and move back

6

more on the number line, away from zero:

- 9 - 6

-15

▶Limit:

-15