What is the limit as x approaches 0-of e^{x/(x+1)} ?

The limit as x approaches 0-of e^{x/(x+1)} is 1

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limit as x approaches 0-of e^{x/(x+1)}

x \to 0 - lim (e^{\frac{x}{x + 1}})

1

Solution steps

x \to 0 - lim (e^{\frac{x}{x + 1}})

Plug in the value

x = 0

= e^{\frac{0}{0 + 1}}

Simplify

e^{\frac{0}{0 + 1}} : 1

= 1

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What is the limit as x approaches 0-of e^{x/(x+1)} ?
The limit as x approaches 0-of e^{x/(x+1)} is 1