What is the limit as x approaches-1 of (1+x)^{-1} ?

The limit as x approaches-1 of (1+x)^{-1} is diverges

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limit as x approaches-1 of (1+x)^{-1}

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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