What is the limit as t approaches 1+of (|1-t|)/(1-t) ?

The limit as t approaches 1+of (|1-t|)/(1-t) is -1

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limit as t approaches 1+of (|1-t|)/(1-t)

t \to 1 + lim (\frac{∣ 1 - t ∣}{1 - t})

- 1

Solution steps

t \to 1 + lim (\frac{∣ 1 - t ∣}{1 - t})

1 - t

is negative when

t \to 1 +

. Therefore

∣ 1 - t ∣ = - 1 + t

= t \to 1 + lim (\frac{- 1 + t}{1 - t})

\frac{- 1 + t}{1 - t} = - 1

= t \to 1 + lim (- 1)

x \to a lim c = c

= - 1

What is the limit as t approaches 1+of (|1-t|)/(1-t) ?
The limit as t approaches 1+of (|1-t|)/(1-t) is -1