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

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