What is the limit as x approaches pi/6 of (sin(x))/x ?

The limit as x approaches pi/6 of (sin(x))/x is 3/pi

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limit as x approaches pi/6 of (sin(x))/x

x \to \frac{π}{6} lim (\frac{sin ( x )}{x})

\frac{3}{π}

Decimal Notation

0.95492 \dots

Solution steps

x \to \frac{π}{6} lim (\frac{sin ( x )}{x})

Plug in the value

x = \frac{π}{6}

= \frac{sin ( \frac{π}{6} )}{\frac{π}{6}}

Simplify

\frac{sin ( \frac{π}{6} )}{\frac{π}{6}} : \frac{3}{π}

= \frac{3}{π}

y^{^{''}} + 64 y = \frac{32}{3} cos (7 t)

3 - x^{2}, 7 - 5 x

f (x) = 2 x^{2} + 3 x - 2, at x = - 2

\frac{x}{1 + x ^{2}}, at x = 2

\frac{d}{d x} (arctan (e^{- 2 x}))

What is the limit as x approaches pi/6 of (sin(x))/x ?
The limit as x approaches pi/6 of (sin(x))/x is 3/pi