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

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

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

x \to π lim (\frac{cos ( x ) - 1}{x})

- \frac{2}{π}

Decimal

- 0.63661 \dots

Solution steps

x \to π lim (\frac{cos ( x ) - 1}{x})

Plug in the value

x = π

= \frac{cos ( π ) - 1}{π}

Simplify

\frac{cos ( π ) - 1}{π} : - \frac{2}{π}

= - \frac{2}{π}

\frac{d}{d x} (x (x - 9)^{2})

\int (4 x + x) d x

t an g e n t y = x, at x = \frac{1}{4}

\int \frac{ln ^{5} ( x ^{2} )}{x} d x

\frac{d}{d x} (- 6 x^{2} + 6 x)

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