What is the limit as x approaches 0-of arcsin(e^x) ?

The limit as x approaches 0-of arcsin(e^x) is pi/2

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limit as x approaches 0-of arcsin(e^x)

x \to 0 - lim (arcsin (e^{x}))

\frac{π}{2}

Decimal Notation

1.57079 \dots

Solution steps

x \to 0 - lim (arcsin (e^{x}))

Plug in the value

x = 0

= arcsin (e^{0})

Simplify

arcsin (e^{0}) : \frac{π}{2}

= \frac{π}{2}

\frac{\partial}{\partial a} (ab)

\int_{- \infty}^{0} x e^{4 x} d x

\int x^{4} (1 - x^{5})^{7} d x

\frac{\partial}{\partial x} (w x + 2 y + 3 z)

x \to 2 lim (\frac{[ x - 2 ]}{x - 2})

What is the limit as x approaches 0-of arcsin(e^x) ?
The limit as x approaches 0-of arcsin(e^x) is pi/2