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

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

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

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

\frac{π}{6}

Decimal Notation

0.52359 \dots

Solution steps

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

Plug in the value

x = \frac{1}{2}

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

Use the following trivial identity:

arcsin (\frac{1}{2}) = \frac{π}{6}

x 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 arcsin (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} arcsin (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ}

= \frac{π}{6}

f (x) = x^{2} + x - 3

3 t^{4} y^{^{''}} + 7 t^{3} y^{^{'}} = 0

n = 0 \sum \infty \frac{1}{( n + 10 )}

\int 14 tan^{3} (x) d x

y^{^{''}} - 2 y + y = 0

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