What is the limit as x approaches e of 1/2 ln(x) ?

The limit as x approaches e of 1/2 ln(x) is 1/2

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limit as x approaches e of 1/2 ln(x)

x \to e lim (\frac{1}{2} ln (x))

\frac{1}{2}

Decimal

0.5

Solution steps

x \to e lim (\frac{1}{2} ln (x))

Plug in the value

x = e

= \frac{1}{2} ln (e)

Simplify

\frac{1}{2} ln (e) : \frac{1}{2}

= \frac{1}{2}

What is the limit as x approaches e of 1/2 ln(x) ?
The limit as x approaches e of 1/2 ln(x) is 1/2