What is the limit as x approaches pi/2 of (tan(x))/(3/((2x-pi))) ?

The limit as x approaches pi/2 of (tan(x))/(3/((2x-pi))) is -2/3

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limit as x approaches pi/2 of (tan(x))/(3/((2x-pi)))

x \to \frac{π}{2} lim (\frac{tan ( x )}{\frac{3}{( 2 x - π )}})

- \frac{2}{3}

Decimal Notation

- 0.66666 \dots

Solution steps

x \to \frac{π}{2} lim (\frac{tan ( x )}{\frac{3}{2 x - π}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to \frac{π}{2} - lim (\frac{tan ( x )}{\frac{3}{2 x - π}}) = - \frac{2}{3}

x \to \frac{π}{2} + lim (\frac{tan ( x )}{\frac{3}{2 x - π}}) = - \frac{2}{3}

= - \frac{2}{3}

x \to 0 lim (1 - sin (x))

x \to 3 + lim (\frac{6}{3 - x})

x \to 2 lim (\frac{x ^{3}}{x ^{2} - 4})

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

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

What is the limit as x approaches pi/2 of (tan(x))/(3/((2x-pi))) ?
The limit as x approaches pi/2 of (tan(x))/(3/((2x-pi))) is -2/3