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

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

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limit as x approaches 0 of 1/x-2

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to \frac{1}{2} lim ([x])

x \to 0 lim ((- 1)^{x})

z \to 1 lim (\frac{1}{( z - 1 ) ^{3}})

x \to 5 + lim (\frac{7 - 2 x}{x - 5})

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

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