limit as x approaches 3 of sqrt(x-2)

Let's evaluate the limit of

\sqrt{x - 2}

when

x \to 3

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

The limit of

x - 2

3 - 2

when

x \to 3

⇥Let's calculate:

3 - 2

⇥ⓘ Start from

3

and move back

2

on the number line:

3 - 2

1

⇥

1

ⓘ The function sqrt is continuous, its limit is its value at the limit of its argument

So the limit of

\sqrt{x - 2}

\sqrt{1}

when

x \to 3

⇥Let's evaluate:

\sqrt{1}

▶Limit:

1