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

The limit as x approaches 1 of (2x)/(ln(x)) is diverges

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

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

(2.9) (9.7)

f (x) = 6 - x

\int_{0}^{2} e^{\frac{x}{2}} d x

\frac{d y}{d x} = \frac{x y ^{3}}{1 + x ^{2}}

\int 4 - 4 x d x

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