What is the limit as x approaches 4 of 1/(sqrt(x)-3) ?

The limit as x approaches 4 of 1/(sqrt(x)-3) is -1

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limit as x approaches 4 of 1/(sqrt(x)-3)

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

- 1

Solution steps

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

Plug in the value

x = 4

= \frac{1}{4 - 3}

Simplify

\frac{1}{4 - 3} : - 1

= - 1

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x \to 0 lim (2 x - 3)

What is the limit as x approaches 4 of 1/(sqrt(x)-3) ?
The limit as x approaches 4 of 1/(sqrt(x)-3) is -1