What is the limit as x approaches pi of x/4-pi/2 ?

The limit as x approaches pi of x/4-pi/2 is -pi/4

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limit as x approaches pi of x/4-pi/2

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

- \frac{π}{4}

Decimal

- 0.78539 \dots

Solution steps

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

Plug in the value

x = π

= \frac{π}{4} - \frac{π}{2}

Simplify

\frac{π}{4} - \frac{π}{2} : - \frac{π}{4}

= - \frac{π}{4}

What is the limit as x approaches pi of x/4-pi/2 ?
The limit as x approaches pi of x/4-pi/2 is -pi/4