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

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

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

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

e

Decimal Notation

2.71828 \dots

Solution steps

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

Plug in the value

x = 1

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

Simplify

= e

x \to 2 lim (2 x^{2} - 3 x + 4)

x \to \infty + lim ((- 1)^{x})

x \to 0 lim (\frac{4 - x}{2 + 7 x})

x \to 1 lim (x^{2} - 2 x - 3)

x \to 4 - lim ([5 x - 2])

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