What is the limit as x approaches 7 of (x-7)/(sqrt(x-4-\sqrt{3))} ?

The limit as x approaches 7 of (x-7)/(sqrt(x-4-\sqrt{3))} is 0

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limit as x approaches 7 of (x-7)/(sqrt(x-4-\sqrt{3))}

x \to 7 lim (\frac{x - 7}{x - 4 - 3})

0

Solution steps

x \to 7 lim (\frac{x - 7}{x - 4 - 3})

Plug in the value

x = 7

= \frac{7 - 7}{7 - 4 - 3}

Simplify

= 0

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What is the limit as x approaches 7 of (x-7)/(sqrt(x-4-\sqrt{3))} ?
The limit as x approaches 7 of (x-7)/(sqrt(x-4-\sqrt{3))} is 0