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

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

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limit as x approaches pi of (cos(x))/x

x \to π lim (\frac{cos ( x )}{x})

- \frac{1}{π}

Decimal

- 0.31830 \dots

Solution steps

x \to π lim (\frac{cos ( x )}{x})

Plug in the value

x = π

= \frac{cos ( π )}{π}

Simplify

\frac{cos ( π )}{π} : - \frac{1}{π}

= - \frac{1}{π}

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