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 Notation

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}

\int_{2}^{4} (- x^{2} + 6 x - 8) d x

\frac{d}{d x} (x^{3} (8 x^{2} + 2 x - 3)^{2})

x \to + 0 lim (\frac{2 x + 1}{x ^{3}})

\frac{\partial}{\partial y} (x y e^{- 3 y})

x^{2} - 3 x, 5 x, [0, 8]

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