What is the limit as x approaches infinity of-xe^{-x^2}2-e^{-x^2} ?

The limit as x approaches infinity of-xe^{-x^2}2-e^{-x^2} is 0

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limit as x approaches infinity of-xe^{-x^2}2-e^{-x^2}

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

0

Solution steps

x \to \infty lim (- x e^{- x^{2}} \cdot 2 - e^{- x^{2}})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= - x \to \infty lim (x e^{- x^{2}} \cdot 2) - x \to \infty lim (e^{- x^{2}})

x \to \infty lim (x e^{- x^{2}} \cdot 2) = 0

x \to \infty lim (e^{- x^{2}}) = 0

= - 0 - 0

Simplify

= 0

\frac{d v}{d y} + 2 \cdot v = 4 e^{- y}

\int_{- 8}^{3} ∣ x ∣ + 1 d x

g (t) = t

\int \frac{ln ( 4 x )}{x ^{2}} d x

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

What is the limit as x approaches infinity of-xe^{-x^2}2-e^{-x^2} ?
The limit as x approaches infinity of-xe^{-x^2}2-e^{-x^2} is 0