What is the limit as x approaches pi/2 of sin(x/2) ?

The limit as x approaches pi/2 of sin(x/2) is (sqrt(2))/2

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limit as x approaches pi/2 of sin(x/2)

x \to \frac{π}{2} lim (sin (\frac{x}{2}))

\frac{2}{2}

Solution steps

x \to \frac{π}{2} lim (sin (\frac{x}{2}))

Plug in the value

x = \frac{π}{2}

= sin (\frac{\frac{π}{2}}{2})

Simplify

sin (\frac{\frac{π}{2}}{2}) : \frac{2}{2}

= \frac{2}{2}

n = 3 \sum \infty (\frac{e}{π})^{n}

\frac{1}{x ^{2} + 1}

\frac{1}{( s ^{2} + 4 ) ( s ^{2} + 1 )}

x \to 4 - lim (c x^{2} + 9 x)

\int 1 + \frac{4 x ^{2}}{( 1 - x ^{2} ) ^{2}} d x

What is the limit as x approaches pi/2 of sin(x/2) ?
The limit as x approaches pi/2 of sin(x/2) is (sqrt(2))/2