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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 1 lim (ln (\frac{x}{e ^{x}}))

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

x \to 0 - lim (\frac{2}{x} - \frac{3}{x ^{2}})

x \to \infty lim (- 4 x)

x \to 0 lim (x^{8} cos (\frac{3}{x}))

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