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

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

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

x \to 4 lim (\frac{1}{x + 2})

\frac{1}{4}

Decimal Notation

0.25

Solution steps

x \to 4 lim (\frac{1}{x + 2})

Plug in the value

x = 4

= \frac{1}{4 + 2}

Simplify

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

= \frac{1}{4}

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