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

The limit as x approaches pi/2 of 2x-pi is 0

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

x \to \frac{π}{2} lim (2 x - π)

0

Solution steps

x \to \frac{π}{2} lim (2 x - π)

Plug in the value

x = \frac{π}{2}

= 2 \cdot \frac{π}{2} - π

Simplify

2 \cdot \frac{π}{2} - π : 0

= 0

What is the limit as x approaches pi/2 of 2x-pi ?
The limit as x approaches pi/2 of 2x-pi is 0