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

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

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

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

diverges

Solution steps

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

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

= diverges

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