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

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

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

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

Undefined

Solution steps

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

Factor out

x

from

x - x s : x (1 - \frac{x s}{x})

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

Cancel the common factor:

x

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

Apply the Limit Chain Rule:

Undefined

= Undefined

x^{2} sin (e^{x})

x \to \infty lim (\frac{9 x ^{3} + 8 x - 4}{3 - 5 x + x ^{3}})

t \to \infty lim (- 654 e^{- \frac{7 t}{2180}} + 654)

x \to 10 - lim (\frac{1}{x + 10})

(4 + x)^{2}

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