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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to 0 + lim ((1 + \frac{8}{x})^{6 x})

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

x \to \infty lim (- 6)

x \to - 7 lim (\frac{x - 6}{x + 7})

x \to 1 lim (x^{2} - 4 x + 1)

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