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

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

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limit as x approaches 1 of x/((x-1))

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

y = 6 x^{3} - x^{2}

f (x) = 2 x^{3} + 3 x^{2} - 12 x + 6, at x = 0

e^{x} \cdot x

f (x) = - \frac{12 x}{( x ^{2} + 2 ) ^{\frac{5}{2}}}

n = 1 \sum \infty \frac{1}{n !}

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