limit as x approaches 0 of x^2-3x+3 — step-by-step solution

Let's evaluate the limit of

x^{2} - 3 x + 3

when

x \to 0

The limit of

x^{2}

0

⁺ when

x \to 0

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

The limit of

- 3 x

- 3 \cdot 0

when

x \to 0

⇥Let's calculate:

- 3 \cdot 0

⇥ⓘ A product with a zero factor is zero:

3 \cdot 0

0

⇥

0

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

So the limit of

x^{2} - 3 x + 3

3

when

x \to 0

▶Limit:

3