What is the limit as x approaches 1/3 of 3x^3+2x^2 ?

The limit as x approaches 1/3 of 3x^3+2x^2 is 1/3

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limit as x approaches 1/3 of 3x^3+2x^2

x \to \frac{1}{3} lim (3 x^{3} + 2 x^{2})

\frac{1}{3}

Decimal Notation

0.33333 \dots

Solution steps

x \to \frac{1}{3} lim (3 x^{3} + 2 x^{2})

Plug in the value

x = \frac{1}{3}

= 3 (\frac{1}{3})^{3} + 2 (\frac{1}{3})^{2}

Simplify

3 (\frac{1}{3})^{3} + 2 (\frac{1}{3})^{2} : \frac{1}{3}

= \frac{1}{3}

y = \frac{x}{x ^{2} + 1}, at x = - 1

\frac{\partial}{\partial x} (2 x \cdot y - \frac{1}{2} x^{2})

f (t) = 6 sin (t)

\int_{- 1}^{3} \frac{x}{x ^{2} + 4} d x

\frac{d}{d x} (x^{2} + 7 x + 12)

What is the limit as x approaches 1/3 of 3x^3+2x^2 ?
The limit as x approaches 1/3 of 3x^3+2x^2 is 1/3