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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

\frac{1}{e}

Decimal Notation

0.36787 \dots

Solution steps

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

Plug in the value

x = 1

= 1^{4} e^{- 1^{2}}

Simplify

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

= \frac{1}{e}

\frac{d}{d x} (- 2 x e^{- x})

\int 5 sin (\frac{t}{2}) - 4 cos (2 t) d t

\frac{d}{d x} (x^{4} - 4 x)

\frac{\partial}{\partial x} (x^{2} sin (y))

\frac{d}{d x} ((5 x + 7)^{2})

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