What is the limit as x approaches 3 of sqrt(1-x^2) ?

The limit as x approaches 3 of sqrt(1-x^2) is 2sqrt(2)i

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limit as x approaches 3 of sqrt(1-x^2)

x \to 3 lim (1 - x^{2})

22 i

Solution steps

x \to 3 lim (1 - x^{2})

Plug in the value

x = 3

= 1 - 3^{2}

Simplify

1 - 3^{2} : 22 i

= 22 i

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

x \to - 3 - lim (\frac{2 x - 1}{9 + 3 x})

x \to 3 lim (1 0^{x^{2} - 2 x})

x \to 4 lim (\frac{x - 4}{x ^{2} - 4})

x \to 0 - lim (\frac{4}{x ^{5}})

What is the limit as x approaches 3 of sqrt(1-x^2) ?
The limit as x approaches 3 of sqrt(1-x^2) is 2sqrt(2)i