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 Notation

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}

(3 x + 1)^{4} (5 - 2 x)^{3}

\int \frac{1}{10} d x

\int cos (x) csc^{10} (x) d x

\frac{\partial}{\partial x} (\frac{x + 4}{x + 5})

\frac{\partial}{\partial y} (sin (\frac{y}{x}))

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