What is the limit as x approaches pi/6 of sin(2x-pi) ?

The limit as x approaches pi/6 of sin(2x-pi) is -(sqrt(3))/2

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limit as x approaches pi/6 of sin(2x-pi)

x \to \frac{π}{6} lim (sin (2 x - π))

- \frac{3}{2}

Decimal

- 0.86602 \dots

Solution steps

x \to \frac{π}{6} lim (sin (2 x - π))

Plug in the value

x = \frac{π}{6}

= sin (2 \cdot \frac{π}{6} - π)

Simplify

sin (2 \cdot \frac{π}{6} - π) : - \frac{3}{2}

= - \frac{3}{2}

\int x^{2} - 9 x + 5 d x

\frac{d}{d t} (e^{t} (a cos (2 t) + b sin (2 t)))

\int \frac{x}{x ^{3}} d x

\int_{2}^{3} \frac{24}{3 - x} d x

f (x) = \frac{5}{ln ( x )}

What is the limit as x approaches pi/6 of sin(2x-pi) ?
The limit as x approaches pi/6 of sin(2x-pi) is -(sqrt(3))/2