What is the limit as x approaches 1-of 3/x-2/(ln(x)) ?

The limit as x approaches 1-of 3/x-2/(ln(x)) is infinity

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limit as x approaches 1-of 3/x-2/(ln(x))

x \to 1 - lim (\frac{3}{x} - \frac{2}{ln ( x )})

\infty

Solution steps

x \to 1 - 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 1 - lim (\frac{3}{x}) - x \to 1 - lim (\frac{2}{ln ( x )})

x \to 1 - lim (\frac{3}{x}) = 3

x \to 1 - lim (\frac{2}{ln ( x )}) = - \infty

= 3 - (- \infty)

Simplify

3 - (- \infty) : \infty

= \infty

\frac{d}{d t} (A (e^{- t} - e^{- t} t))

\frac{d}{d x} (ln (3^{2 - x^{2}}))

\int_{- 1}^{0} \frac{1}{1 + x} d x

\frac{\partial}{\partial x} (x^{9})

y = 4 x^{3}, (- 1, - 4)

What is the limit as x approaches 1-of 3/x-2/(ln(x)) ?
The limit as x approaches 1-of 3/x-2/(ln(x)) is infinity