What is the limit as x approaches-infinity of 4e^{-x} ?

The limit as x approaches-infinity of 4e^{-x} is infinity

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limit as x approaches-infinity of 4e^{-x}

x \to - \infty lim (4 e^{- x})

\infty

Solution steps

x \to - \infty lim (4 e^{- x})

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

= 4 \cdot x \to - \infty lim (e^{- x})

Apply the Limit Chain Rule:

\infty

= 4 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

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What is the limit as x approaches-infinity of 4e^{-x} ?
The limit as x approaches-infinity of 4e^{-x} is infinity