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

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

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

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

Undefined

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

Undefined

= Undefined

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\frac{d y}{d x} = \frac{y ^{3}}{e ^{x}}

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