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

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

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

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

1 + \frac{1}{e}

Decimal

1.36787 \dots

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= 1 + \frac{1}{e}

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