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

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

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

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

\frac{2}{π}

Decimal Notation

0.63661 \dots

Solution steps

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

Plug in the value

x = \frac{π}{2}

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

Simplify

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

= \frac{2}{π}

x = \frac{y ^{2}}{4}, x = \frac{y}{2} + 2

n = 0 \sum \infty n sin (nπ)

\int \frac{x}{x ( x + 4 )} d x

\frac{\partial}{\partial x} (e^{x} \cdot y)

f (x) = x + \frac{7}{x}

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