What is the limit as x approaches-pi/2+of-5x-pi/2 ?

The limit as x approaches-pi/2+of-5x-pi/2 is 2pi

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limit as x approaches-pi/2+of-5x-pi/2

x \to - \frac{π}{2} + lim (- 5 x - \frac{π}{2})

2 π

Decimal Notation

6.28318 \dots

Solution steps

x \to - \frac{π}{2} + lim (- 5 x - \frac{π}{2})

Plug in the value

x = - \frac{π}{2}

= - 5 (- \frac{π}{2}) - \frac{π}{2}

Simplify

- 5 (- \frac{π}{2}) - \frac{π}{2} : 2 π

= 2 π

x \to - 2 + lim (\frac{x - ∣ x ∣}{x + 2})

x \to 0 lim (x + tan (x))

x \to 2 lim (\frac{x}{x ^{3} - 8})

x \to \frac{π ^{+}}{2} lim (tan (x))

x \to 0 lim (x^{2} \cdot csc^{2} (x))

What is the limit as x approaches-pi/2+of-5x-pi/2 ?
The limit as x approaches-pi/2+of-5x-pi/2 is 2pi