What is the limit as x approaches-infinity of-e^{-x} ?

The limit as x approaches-infinity of-e^{-x} is -infinity

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limit as x approaches-infinity of-e^{-x}

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

- \infty

Solution steps

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

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

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

Apply the Limit Chain Rule:

\infty

= - \infty

What is the limit as x approaches-infinity of-e^{-x} ?
The limit as x approaches-infinity of-e^{-x} is -infinity