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

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

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limit as x approaches 1-of arcsin(x)

x \to 1 - lim (arcsin (x))

\frac{π}{2}

Decimal

1.57079 \dots

Solution steps

x \to 1 - lim (arcsin (x))

Plug in the value

x = 1

= arcsin (1)

Use the following trivial identity:

arcsin (1) = \frac{π}{2}

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}{2}

x \to \frac{π}{3} lim (sin (3 x))

x \to \infty lim (x^{2} - 3)

d er i v a t i v e 7 x^{4}

\int (sin (x))^{3} (cos (x))^{2} d x

\frac{d}{d x} (ln (324 sin^{2} (x)))

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