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

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

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limit as x approaches pi of tan(5/6 x)

x \to π lim (tan (\frac{5}{6} x))

- \frac{3}{3}

Solution steps

x \to π lim (tan (\frac{5}{6} x))

Plug in the value

x = π

= tan (\frac{5}{6} π)

Simplify

tan (\frac{5}{6} π) : - \frac{3}{3}

= - \frac{3}{3}

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