What is the limit as x approaches 1 of (x)(x-1)^{-1} ?

The limit as x approaches 1 of (x)(x-1)^{-1} is diverges

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limit as x approaches 1 of (x)(x-1)^{-1}

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

\int_{0}^{1} x^{3} (1 - x)^{2} d x

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\int cos (4 x) d x

y = \frac{2 x}{1 + x ^{2}}, - 4 \leq x \leq 4

\frac{\partial}{\partial y} (\frac{y}{2 x})

What is the limit as x approaches 1 of (x)(x-1)^{-1} ?
The limit as x approaches 1 of (x)(x-1)^{-1} is diverges