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

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

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limit as x approaches pi/2 of (2x)/pi

x \to \frac{π}{2} lim (\frac{2 x}{π})

1

Solution steps

x \to \frac{π}{2} lim (\frac{2 x}{π})

Plug in the value

x = \frac{π}{2}

= \frac{2 \cdot \frac{π}{2}}{π}

Simplify

\frac{2 \cdot \frac{π}{2}}{π} : 1

= 1

x \to n lim (x)

x \to 0 lim (- 2 sin (3 x))

x \to 4 + lim (\frac{3}{4 - x})

x \to 0 + lim (3 (x^{\frac{x}{2}}))

x \to 0 lim (sin (\frac{1}{- 1}))

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