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

x \to 0 lim (\frac{x - 6}{x - 2})

\frac{d ^{3}}{d x ^{3}} (1 + x)

\frac{d y}{d x} = 12

\frac{d}{d x} (x + \frac{1}{x + 2})

f (x) = x (x + 3)

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