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)

Simplify

arcsin (- 1) : - \frac{π}{2}

= - \frac{π}{2}

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