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

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}

y = 6 x^{2} - 2 x, y = x^{3} - 6 x + 5

\frac{d}{d x} (3 x^{2} (x^{3} - 2 x))

\int_{1}^{e^{2}} \frac{2}{x} d x

\frac{d}{d x} (1.58 e^{- 0.213 x})

\int \frac{2 x - 1}{x ^{2} - 8 x + 15} d x

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