What is the limit as x approaches infinity of (e^{-sx})/s ?

The limit as x approaches infinity of (e^{-sx})/s is 0

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limit as x approaches infinity of (e^{-sx})/s

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

0

Solution steps

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

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

= \frac{1}{s} \cdot x \to \infty lim (e^{- s x})

Apply the Limit Chain Rule:

0

= \frac{1}{s} \cdot 0

Simplify

= 0

What is the limit as x approaches infinity of (e^{-sx})/s ?
The limit as x approaches infinity of (e^{-sx})/s is 0