What is the limit as x approaches 0 of x^{-1} ?

The limit as x approaches 0 of x^{-1} is diverges

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limit as x approaches 0 of x^{-1}

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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y^{^{''}} + 3 y^{^{'}} - 7 y = x^{4} e^{x}

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What is the limit as x approaches 0 of x^{-1} ?
The limit as x approaches 0 of x^{-1} is diverges