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

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

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

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

0

Solution steps

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

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

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

Apply the Limit Chain Rule:

0

= - 0

Simplify

= 0

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y = 7 x - x^{2}

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\int_{3}^{12} (6 x + 1) d x

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