What is the limit as x approaches 0+of (ln(x))/(sqrt(x)) ?

The limit as x approaches 0+of (ln(x))/(sqrt(x)) is -infinity

Popular >

limit as x approaches 0+of (ln(x))/(sqrt(x))

x \to 0 + lim (\frac{ln ( x )}{x})

- \infty

Solution steps

x \to 0 + lim (\frac{ln ( x )}{x})

\frac{ln ( x )}{x} = ln (x) \frac{1}{x}

= x \to 0 + lim (ln (x) \frac{1}{x})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 + lim (ln (x)) \cdot x \to 0 + lim (\frac{1}{x})

x \to 0 + lim (ln (x)) = - \infty

x \to 0 + lim (\frac{1}{x}) = \infty

= (- \infty) \cdot \infty

Apply Infinity Property:

(- \infty) \infty = - \infty

= - \infty

\int - 4 x^{3} - 8 x^{2} - 4 d x

\frac{d}{d x} (- x^{2} + 5 x)

\frac{\partial ^{2}}{\partial x ^{2}} (x)

x \to 3 - lim (\frac{x}{x - 3})

\int_{1}^{\infty} 3 x^{- 4} d x

What is the limit as x approaches 0+of (ln(x))/(sqrt(x)) ?
The limit as x approaches 0+of (ln(x))/(sqrt(x)) is -infinity