What is the limit as x approaches 0 of (1+3x)^{2/3} ?

The limit as x approaches 0 of (1+3x)^{2/3} is 1

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limit as x approaches 0 of (1+3x)^{2/3}

x \to 0 lim ((1 + 3 x)^{\frac{2}{3}})

1

Solution steps

x \to 0 lim ((1 + 3 x)^{\frac{2}{3}})

Plug in the value

x = 0

= (1 + 3 \cdot 0)^{\frac{2}{3}}

Simplify

= 1

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What is the limit as x approaches 0 of (1+3x)^{2/3} ?
The limit as x approaches 0 of (1+3x)^{2/3} is 1