What is the limit as x approaches pi/2 of e^{sin(x)} ?

The limit as x approaches pi/2 of e^{sin(x)} is e

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limit as x approaches pi/2 of e^{sin(x)}

x \to \frac{π}{2} lim (e^{s i n (x)})

e

Decimal Notation

2.71828 \dots

Solution steps

x \to \frac{π}{2} lim (e^{s i n (x)})

Plug in the value

x = \frac{π}{2}

= e^{s i n (\frac{π}{2})}

Simplify

e^{s i n (\frac{π}{2})} : e

= e

x \to 0 lim (\frac{x cos ( x )}{x})

\frac{d}{d x} (\frac{3}{x ^{2} + 9})

\frac{\partial}{\partial y} (y e^{- x^{2} + y})

\int \frac{x ^{2} + 3}{x x ^{2} - 9} d x

\frac{\partial}{\partial x} (cos^{6} (x^{8} y^{6}))

What is the limit as x approaches pi/2 of e^{sin(x)} ?
The limit as x approaches pi/2 of e^{sin(x)} is e