What is the limit as x approaches 1 of 2/(1-x) ?

The limit as x approaches 1 of 2/(1-x) is diverges

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limit as x approaches 1 of 2/(1-x)

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

diverges

Solution steps

x \to 1 lim (\frac{2}{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{2}{1 - x}) = - \infty

x \to 1 - lim (\frac{2}{1 - x}) = \infty

= diverges

x \to 0 lim ((1 + x^{2})^{\frac{1}{1 - c o s ( x )}})

x \to \infty lim (\frac{4 x}{x})

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

x \to 10 lim (\frac{10 x}{2 x + 5})

x \to \frac{π}{4} lim (tan (2 x) tan (\frac{π}{4} - x))

What is the limit as x approaches 1 of 2/(1-x) ?
The limit as x approaches 1 of 2/(1-x) is diverges