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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to - 2 lim (- x^{4} + 8 x^{2})

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

x \to 0 lim (\frac{1 + x}{1 - x})

x \to 0 lim (x + cos (x))

x \to 2 lim (- x^{3} + 1)

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