What is the limit as x approaches pi/6 of cos(-5x) ?

The limit as x approaches pi/6 of cos(-5x) is -(sqrt(3))/2

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limit as x approaches pi/6 of cos(-5x)

x \to \frac{π}{6} lim (cos (- 5 x))

- \frac{3}{2}

Decimal

- 0.86602 \dots

Solution steps

x \to \frac{π}{6} lim (cos (- 5 x))

Plug in the value

x = \frac{π}{6}

= cos (- 5 \cdot \frac{π}{6})

Simplify

cos (- 5 \cdot \frac{π}{6}) : - \frac{3}{2}

= - \frac{3}{2}

What is the limit as x approaches pi/6 of cos(-5x) ?
The limit as x approaches pi/6 of cos(-5x) is -(sqrt(3))/2