limit as x approaches 1 of |x-1| — step-by-step solution

Compute the limit of

| x - 1 |

x \to 1

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

The limit of

x - 1

1 - 1

when

x \to 1

⇥Let's calculate:

1 - 1

⇥ⓘ Start from

1

and move back

1

on the number line, down to zero:

1 - 1

0

⇥

0

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

So the limit of

| x - 1 |

0

⁺ when

x \to 1

▶Limit:

0