What is the limit as x approaches-1 of x^2e^{-4/x} ?

The limit as x approaches-1 of x^2e^{-4/x} is e^4

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limit as x approaches-1 of x^2e^{-4/x}

x \to - 1 lim (x^{2} e^{- \frac{4}{x}})

e^{4}

Decimal Notation

54.59815 \dots

Solution steps

x \to - 1 lim (x^{2} e^{- \frac{4}{x}})

Plug in the value

x = - 1

= (- 1)^{2} e^{- \frac{4}{- 1}}

Simplify

(- 1)^{2} e^{- \frac{4}{- 1}} : e^{4}

= e^{4}

x \to - 2 lim (\frac{1}{x - 2})

f (x) = tan (x)

\int_{0}^{1} (3 x^{2} + 2 x + 1) d x

\frac{d}{d x} (\frac{2}{1 - x})

\int_{- \infty}^{0} \frac{1}{3 - 8 x} d x

What is the limit as x approaches-1 of x^2e^{-4/x} ?
The limit as x approaches-1 of x^2e^{-4/x} is e^4