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

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

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

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

\infty

Solution steps

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

For

x

approaching

0

from the right

, x > 0 \Rightarrow x^{\frac{3}{2}} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

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\frac{d x}{d t} = 0.03 x + 3600 t

\frac{2}{3 x + 5}

\frac{d}{d x} (\frac{5 x}{x + 4})

\int_{- 4}^{4} (3 - ∣ x ∣) d x

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