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

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

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

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

\frac{π}{2}

Decimal

1.57079 \dots

Solution steps

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

Plug in the value

x = 1

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

Simplify

arcsin (\frac{1}{1}) : \frac{π}{2}

= \frac{π}{2}

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