What is the limit as x approaches 2 of e^{1/x} ?

The limit as x approaches 2 of e^{1/x} is e^{1/2}

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limit as x approaches 2 of e^{1/x}

x \to 2 lim (e^{\frac{1}{x}})

e^{\frac{1}{2}}

Decimal

1.64872 \dots

Solution steps

x \to 2 lim (e^{\frac{1}{x}})

Plug in the value

x = 2

= e^{\frac{1}{2}}

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What is the limit as x approaches 2 of e^{1/x} ?
The limit as x approaches 2 of e^{1/x} is e^{1/2}