What is the limit as x approaches 0 of (1-x) 2/x ?

The limit as x approaches 0 of (1-x) 2/x is diverges

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limit as x approaches 0 of (1-x) 2/x

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

diverges

Solution steps

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

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

then the limit does not exist

x \to 0 + lim ((1 - x) \frac{2}{x}) = \infty

x \to 0 - lim ((1 - x) \frac{2}{x}) = - \infty

= diverges

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

n \to 1 lim (\frac{ln ( n )}{n - 1})

x \to 2 lim (9 x - 2)

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

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

What is the limit as x approaches 0 of (1-x) 2/x ?
The limit as x approaches 0 of (1-x) 2/x is diverges