What is the limit as x approaches-pi/9 of 9x^2(5x) ?

The limit as x approaches-pi/9 of 9x^2(5x) is -(5pi^3)/(81)

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limit as x approaches-pi/9 of 9x^2(5x)

x \to - \frac{π}{9} lim (9 x^{2} (5 x))

- \frac{5 π ^{3}}{81}

Decimal

- 1.91396 \dots

Solution steps

x \to - \frac{π}{9} lim (9 x^{2} \cdot 5 x)

Plug in the value

x = - \frac{π}{9}

= 9 (- \frac{π}{9})^{2} \cdot 5 (- \frac{π}{9})

Simplify

9 (- \frac{π}{9})^{2} \cdot 5 (- \frac{π}{9}) : - \frac{5 π ^{3}}{81}

= - \frac{5 π ^{3}}{81}

What is the limit as x approaches-pi/9 of 9x^2(5x) ?
The limit as x approaches-pi/9 of 9x^2(5x) is -(5pi^3)/(81)