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

The limit as x approaches 4 of 1/(sqrt(x+4)) is 1/(2sqrt(2))

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limit as x approaches 4 of 1/(sqrt(x+4))

x \to 4 lim (\frac{1}{x + 4})

\frac{1}{2 2}

Decimal Notation

0.35355 \dots

Solution steps

x \to 4 lim (\frac{1}{x + 4})

Plug in the value

x = 4

= \frac{1}{4 + 4}

Simplify

\frac{1}{4 + 4} : \frac{1}{2 2}

= \frac{1}{2 2}

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What is the limit as x approaches 4 of 1/(sqrt(x+4)) ?
The limit as x approaches 4 of 1/(sqrt(x+4)) is 1/(2sqrt(2))