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

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

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limit as t approaches 1 of (ln(t))/(t-1)

t \to 1 lim (\frac{ln ( t )}{t - 1})

1

Solution steps

t \to 1 lim (\frac{ln ( t )}{t - 1})

Apply L'Hopital's Rule

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

Plug in the value

t = 1

= \frac{\frac{1}{1}}{1}

Simplify

= 1

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