What is the limit as x approaches 1 of e^{sqrt(x)} ?

The limit as x approaches 1 of e^{sqrt(x)} is e

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limit as x approaches 1 of e^{sqrt(x)}

x \to 1 lim (e^{x})

e

Decimal Notation

2.71828 \dots

Solution steps

x \to 1 lim (e^{x})

Plug in the value

x = 1

= e^{1}

Simplify

= e

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What is the limit as x approaches 1 of e^{sqrt(x)} ?
The limit as x approaches 1 of e^{sqrt(x)} is e