What is the limit as x approaches infinity of 8^{-x} ?

The limit as x approaches infinity of 8^{-x} is 0

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limit as x approaches infinity of 8^{-x}

x \to \infty lim (8^{- x})

0

Solution steps

x \to \infty lim (8^{- x})

Apply exponent rules

= x \to \infty lim (e^{- x l n (8)})

Apply the Limit Chain Rule:

0

= 0

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What is the limit as x approaches infinity of 8^{-x} ?
The limit as x approaches infinity of 8^{-x} is 0