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

The limit as x approaches pi of (sin(x))/(2+cos(x)) is 0

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limit as x approaches pi of (sin(x))/(2+cos(x))

x \to π lim (\frac{sin ( x )}{2 + cos ( x )})

0

Solution steps

x \to π lim (\frac{sin ( x )}{2 + cos ( x )})

Plug in the value

x = π

= \frac{sin ( π )}{2 + cos ( π )}

Simplify

\frac{sin ( π )}{2 + cos ( π )} : 0

= 0

x \to - 1 lim (6 x^{3} - 7 x + 12)

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x \to 0 + lim (3 (tan (x))^{x})

x \to 0 lim (\frac{4 x - 2 x ^{2}}{sin ( x )})

x \to - 2 lim (\frac{2 x + 1}{x - 3})

What is the limit as x approaches pi of (sin(x))/(2+cos(x)) ?
The limit as x approaches pi of (sin(x))/(2+cos(x)) is 0