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

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

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

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

\frac{1}{2}

Decimal

0.5

Solution steps

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

Plug in the value

x = 4

= \frac{4}{4}

Simplify

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

= \frac{1}{2}

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