What is the limit as x approaches 0 of (x-1)^{1/2} ?

The limit as x approaches 0 of (x-1)^{1/2} is i

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limit as x approaches 0 of (x-1)^{1/2}

x \to 0 lim ((x - 1)^{\frac{1}{2}})

i

Solution steps

x \to 0 lim ((x - 1)^{\frac{1}{2}})

Plug in the value

x = 0

= (0 - 1)^{\frac{1}{2}}

Simplify

(0 - 1)^{\frac{1}{2}} : i

= i

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What is the limit as x approaches 0 of (x-1)^{1/2} ?
The limit as x approaches 0 of (x-1)^{1/2} is i