What is the limit as x approaches 0+of x^{2*sqrt(x)} ?

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

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limit as x approaches 0+of x^{2*sqrt(x)}

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

1

Solution steps

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

Apply exponent rules

= x \to 0 + lim (e^{2 x l n (x)})

Apply the Limit Chain Rule:

1

= 1

\int_{1}^{\infty} \frac{1}{x + x x} d x

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\int_{1}^{2} \frac{1}{( 3 - 5 x ) ^{2}} d x

π^{x^{2}}

\int \frac{1}{5 - 4 x} d x

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