What is the limit as x approaches 0 of 1/(sqrt(x-1)) ?

The limit as x approaches 0 of 1/(sqrt(x-1)) is -i

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limit as x approaches 0 of 1/(sqrt(x-1))

x \to 0 lim (\frac{1}{x - 1})

- i

Solution steps

x \to 0 lim (\frac{1}{x - 1})

Plug in the value

x = 0

= \frac{1}{0 - 1}

Simplify

\frac{1}{0 - 1} : - i

= - i

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What is the limit as x approaches 0 of 1/(sqrt(x-1)) ?
The limit as x approaches 0 of 1/(sqrt(x-1)) is -i