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

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

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

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

- 1

Solution steps

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

Simplify

\frac{1 - \frac{1}{x}}{1 - x} : - \frac{1}{x}

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

Plug in the value

x = 1

= - \frac{1}{1}

Simplify

= - 1

\int_{0}^{π} sec^{2} (\frac{t}{3}) d t

y = x^{3}, (- 2, - 8)

n = 1 \sum \infty \frac{( - 3 ) ^{n}}{n}

\frac{d}{d x} (x - x^{- 1})

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