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

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

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

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

\frac{1}{4}

Decimal

0.25

Solution steps

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

Plug in the value

x = 4

= \frac{1}{2 4}

Simplify

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

= \frac{1}{4}

x \to \frac{4}{5} lim (\frac{1}{5 x - 4})

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

x \to 3 lim (\frac{3 x ^{2} + 5 x + 1}{x})

x \to \infty lim (3 x + 3)

x \to 3 - lim (\frac{12}{x - 3})

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