What is the limit as x approaches 5/3 of x^3-2x+3 ?

The limit as x approaches 5/3 of x^3-2x+3 is 116/27

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limit as x approaches 5/3 of x^3-2x+3

x \to \frac{5}{3} lim (x^{3} - 2 x + 3)

\frac{116}{27}

Decimal

4.29629 \dots

Solution steps

x \to \frac{5}{3} lim (x^{3} - 2 x + 3)

Plug in the value

x = \frac{5}{3}

= (\frac{5}{3})^{3} - 2 \cdot \frac{5}{3} + 3

Simplify

(\frac{5}{3})^{3} - 2 \cdot \frac{5}{3} + 3 : \frac{116}{27}

= \frac{116}{27}

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

x \to 2 lim (- x^{2} + 2 x)

x \to 3 lim (- 6 x^{6})

x \to \infty lim (0 - x)

What is the limit as x approaches 5/3 of x^3-2x+3 ?
The limit as x approaches 5/3 of x^3-2x+3 is 116/27