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

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

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

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

1

Solution steps

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

Plug in the value

x = - 1

= \frac{- 1 - 1}{( - 1 ) ^{1} - 1}

Simplify

= 1

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