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

The limit as x approaches 1 of xarcsin(x/2) is pi/6

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limit as x approaches 1 of xarcsin(x/2)

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

\frac{π}{6}

Decimal

0.52359 \dots

Solution steps

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

Plug in the value

x = 1

= 1 \cdot arcsin (\frac{1}{2})

Simplify

1 \cdot arcsin (\frac{1}{2}) : \frac{π}{6}

= \frac{π}{6}

What is the limit as x approaches 1 of xarcsin(x/2) ?
The limit as x approaches 1 of xarcsin(x/2) is pi/6