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

The limit as x approaches pi of sin(x/2-pi) is -1

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

x \to π lim (sin (\frac{x}{2} - π))

- 1

Solution steps

x \to π lim (sin (\frac{x}{2} - π))

Plug in the value

x = π

= sin (\frac{π}{2} - π)

Simplify

sin (\frac{π}{2} - π) : - 1

= - 1

p \to 2 lim (p^{2} + p + 5)

x \to \infty lim ((- 5)^{n})

x \to 2 lim (\frac{2 - x}{x ^{3} - 8})

x \to - 2 lim ((x + 4) (x - \frac{1}{2}))

x \to - 4 lim (2 x^{3} + x^{2} + 2)

What is the limit as x approaches pi of sin(x/2-pi) ?
The limit as x approaches pi of sin(x/2-pi) is -1