What is the asymptotes of f(x)= x/((ln(x)-1)+2x) ?

The asymptotes of f(x)= x/((ln(x)-1)+2x) is Vertical: x=(\W_{0}(2e))/2 ,Horizontal: y= 1/2

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asymptotes of f(x)= x/((ln(x)-1)+2x)

asymptotes

f (x) = \frac{x}{( ln ( x ) - 1 ) + 2 x}

Vertical : x = \frac{W _{0} ( 2 e )}{2}, Horizontal : y = \frac{1}{2}

Solution steps

Vertical asymptotes of

\frac{x}{ln ( x ) - 1 + 2 x} : x = \frac{W _{0} ( 2 e )}{2}

Horizontal Asymptotes of

\frac{x}{ln ( x ) - 1 + 2 x} : y = \frac{1}{2}

Slant Asymptotes of

\frac{x}{ln ( x ) - 1 + 2 x} :

None

Vertical : x = \frac{W _{0} ( 2 e )}{2}, Horizontal : y = \frac{1}{2}

f (x) = x^{2} + 10 x + 25

f (x) = x + 12

f (x) = \frac{1}{∣ 2 - x ∣}

f (x) = \frac{- 4}{x - 2}

f (x) = 6 x + 12

What is the asymptotes of f(x)= x/((ln(x)-1)+2x) ?
The asymptotes of f(x)= x/((ln(x)-1)+2x) is Vertical: x=(\W_{0}(2e))/2 ,Horizontal: y= 1/2