What is the limit as x approaches 3-of arcsin(x/3) ?

The limit as x approaches 3-of arcsin(x/3) is pi/2

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limit as x approaches 3-of arcsin(x/3)

x \to 3 - lim (arcsin (\frac{x}{3}))

\frac{π}{2}

Decimal

1.57079 \dots

Solution steps

x \to 3 - lim (arcsin (\frac{x}{3}))

Plug in the value

x = 3

= arcsin (\frac{3}{3})

Simplify

arcsin (\frac{3}{3}) : \frac{π}{2}

= \frac{π}{2}

What is the limit as x approaches 3-of arcsin(x/3) ?
The limit as x approaches 3-of arcsin(x/3) is pi/2