What is the limit as x approaches 7 of (3x+2)^{2/3} ?

The limit as x approaches 7 of (3x+2)^{2/3} is 23^{2/3}

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limit as x approaches 7 of (3x+2)^{2/3}

x \to 7 lim ((3 x + 2)^{\frac{2}{3}})

2 3^{\frac{2}{3}}

Decimal Notation

8.08757 \dots

Solution steps

x \to 7 lim ((3 x + 2)^{\frac{2}{3}})

Plug in the value

x = 7

= (3 \cdot 7 + 2)^{\frac{2}{3}}

Simplify

= 2 3^{\frac{2}{3}}

\int_{0}^{1} (1 - x)^{2} x d x

\int (3 x - \frac{2}{x}) d x

\frac{d y}{d x} = 20 x + y - 20

\int_{7}^{\infty} \frac{9}{v ^{2} - v} d v

\frac{\partial}{\partial x} (e^{\frac{x + y}{x - y}})

What is the limit as x approaches 7 of (3x+2)^{2/3} ?
The limit as x approaches 7 of (3x+2)^{2/3} is 23^{2/3}