What is the limit as x approaches-1 of (-1)^x2^{-x} ?

The limit as x approaches-1 of (-1)^x2^{-x} is -2

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limit as x approaches-1 of (-1)^x2^{-x}

x \to - 1 lim ((- 1)^{x} 2^{- x})

- 2

Solution steps

x \to - 1 lim ((- 1)^{x} \cdot 2^{- x})

Plug in the value

x = - 1

= (- 1)^{- 1} \cdot 2^{- (- 1)}

Simplify

(- 1)^{- 1} \cdot 2^{- (- 1)} : - 2

= - 2

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

x \to 5 + lim (\frac{4}{x ^{2} - 25})

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

x \to - 3 lim (2 x + 8)

x \to \infty lim (e^{x} - e)

What is the limit as x approaches-1 of (-1)^x2^{-x} ?
The limit as x approaches-1 of (-1)^x2^{-x} is -2