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

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

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

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

diverges

Solution steps

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

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

= diverges

y \to 0 lim (\frac{6}{y ^{2} + y} - \frac{6}{y})

x \to 0 lim (x e^{\frac{1}{x}} - 2)

x \to 5 lim (x^{2} + 9)

x \to \infty lim (\frac{9}{2 x})

x \to 2 lim (2 x^{2} + 5 x - 2)

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