What is the limit as x approaches 1 of sqrt(5-x^2) ?

The limit as x approaches 1 of sqrt(5-x^2) is 2

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limit as x approaches 1 of sqrt(5-x^2)

x \to 1 lim (5 - x^{2})

2

Solution steps

x \to 1 lim (5 - x^{2})

Plug in the value

x = 1

= 5 - 1^{2}

Simplify

5 - 1^{2} : 2

= 2

x \to π lim (π - x)

x \to 0 + lim ((- 8 ln (x))^{x})

x \to 5 lim (x^{2} + 5 x - 20)

x \to 3 lim (2 x^{4} - 3 x^{2} - x + 1)

x \to - 4 lim (x^{4} + x^{3} - x + 1)

What is the limit as x approaches 1 of sqrt(5-x^2) ?
The limit as x approaches 1 of sqrt(5-x^2) is 2