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

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

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

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

- 1

Solution steps

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

Simplify

\frac{\frac{1}{t} - 1}{t - 1} : - \frac{1}{t}

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

Plug in the value

t = 1

= - \frac{1}{1}

Simplify

= - 1

n = 0 \sum \infty n^{2}

\frac{d}{d x} (ln (x^{2} - y))

f (x) = (4 x + 5) (5 x - 6)

(0.5) (1.6)

\int \frac{x}{x ^{2} - 25} d x

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