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 Notation

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}

\frac{d}{d x} (3 \cdot 1 0^{2 x})

\int t ln (t + 1) d t

\frac{\partial}{\partial x} (2 (1 + y) x)

y = 3^{x^{2} + 3 x}

\frac{d}{d y} (\frac{y ^{3}}{27} + \frac{9}{4 y})

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