What is the limit as x approaches-3+of sqrt(9-x^2) ?

The limit as x approaches-3+of sqrt(9-x^2) is 0

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limit as x approaches-3+of sqrt(9-x^2)

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

0

Solution steps

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

Plug in the value

x = - 3

= 9 - (- 3)^{2}

Simplify

9 - (- 3)^{2} : 0

= 0

h \to 0 lim (\frac{\frac{2 x + 2 h + 1}{2 - 3 x - 3 h} - \frac{2 x + 1}{2 - 3 x}}{h})

x \to 0 lim (\frac{5}{3 + e ^{\frac{1}{x}}})

x \to - 1 lim (x^{2} - 5 x + 17)

x \to 0 lim (x + \frac{2}{x})

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

What is the limit as x approaches-3+of sqrt(9-x^2) ?
The limit as x approaches-3+of sqrt(9-x^2) is 0