What is the limit as x approaches infinity of-3^{-x} ?

The limit as x approaches infinity of-3^{-x} is 0

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limit as x approaches infinity of-3^{-x}

x \to \infty lim (- 3^{- x})

0

Solution steps

x \to \infty lim (- 3^{- x})

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

= - x \to \infty lim (3^{- x})

Apply exponent rules

= - x \to \infty lim (e^{- x l n (3)})

Apply the Limit Chain Rule:

0

= - 0

Simplify

= 0

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What is the limit as x approaches infinity of-3^{-x} ?
The limit as x approaches infinity of-3^{-x} is 0