What is the limit as x approaches 0+of 3/x-2/(ln(x)) ?

The limit as x approaches 0+of 3/x-2/(ln(x)) is infinity

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limit as x approaches 0+of 3/x-2/(ln(x))

x \to 0 + lim (\frac{3}{x} - \frac{2}{ln ( x )})

\infty

Solution steps

x \to 0 + lim (\frac{3}{x} - \frac{2}{ln ( x )})

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

With the exception of indeterminate form

= x \to 0 + lim (\frac{3}{x}) - x \to 0 + lim (\frac{2}{ln ( x )})

x \to 0 + lim (\frac{3}{x}) = \infty

x \to 0 + lim (\frac{2}{ln ( x )}) = 0

= \infty - 0

Apply Infinity Property:

\infty - c = \infty

= \infty

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\int 2 e^{x} + 2 x - 1 d x

(x^{2} y^{3} - \frac{1}{1 + 9 x ^{2}}) d x + x^{3} y^{2} d y = 0

\frac{\partial}{\partial y} (ln (x^{4} + y) - z)

What is the limit as x approaches 0+of 3/x-2/(ln(x)) ?
The limit as x approaches 0+of 3/x-2/(ln(x)) is infinity