What is the limit as x approaches 1 of 1/(sqrt(x-2)) ?

The limit as x approaches 1 of 1/(sqrt(x-2)) is -i

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limit as x approaches 1 of 1/(sqrt(x-2))

x \to 1 lim (\frac{1}{x - 2})

- i

Solution steps

x \to 1 lim (\frac{1}{x - 2})

Plug in the value

x = 1

= \frac{1}{1 - 2}

Simplify

\frac{1}{1 - 2} : - i

= - i

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What is the limit as x approaches 1 of 1/(sqrt(x-2)) ?
The limit as x approaches 1 of 1/(sqrt(x-2)) is -i