What is the limit as x approaches-pi/2-of-8x-pi/2 ?

The limit as x approaches-pi/2-of-8x-pi/2 is 4pi-pi/2

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limit as x approaches-pi/2-of-8x-pi/2

x \to - \frac{π}{2} - lim (- 8 x - \frac{π}{2})

4 π - \frac{π}{2}

Decimal

10.99557 \dots

Solution steps

x \to - \frac{π}{2} - lim (- 8 x - \frac{π}{2})

Plug in the value

x = - \frac{π}{2}

= - 8 (- \frac{π}{2}) - \frac{π}{2}

Simplify

- 8 (- \frac{π}{2}) - \frac{π}{2} : 4 π - \frac{π}{2}

= 4 π - \frac{π}{2}

What is the limit as x approaches-pi/2-of-8x-pi/2 ?
The limit as x approaches-pi/2-of-8x-pi/2 is 4pi-pi/2