What is the limit as x approaches 4-of arcsin(x/4) ?

The limit as x approaches 4-of arcsin(x/4) is pi/2

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limit as x approaches 4-of arcsin(x/4)

x \to 4 - lim (arcsin (\frac{x}{4}))

\frac{π}{2}

Decimal

1.57079 \dots

Solution steps

x \to 4 - lim (arcsin (\frac{x}{4}))

Plug in the value

x = 4

= arcsin (\frac{4}{4})

Simplify

arcsin (\frac{4}{4}) : \frac{π}{2}

= \frac{π}{2}

What is the limit as x approaches 4-of arcsin(x/4) ?
The limit as x approaches 4-of arcsin(x/4) is pi/2