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

The limit as x approaches infinity of 1/2 e^{-x^2} is 0

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

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

0

Solution steps

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

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{1}{2} \cdot x \to \infty lim (e^{- x^{2}})

Apply the Limit Chain Rule:

0

= \frac{1}{2} \cdot 0

Simplify

= 0

x \to 0 lim (\frac{2 x ^{2}}{∣ x ∣})

x \to \infty lim (e^{- 3 s i n (x)})

x \to \infty lim (\frac{3 x + 2 e ^{x}}{4 x - e ^{3 x}})

x \to 0 lim (e^{t a n (x)})

x \to 0 + lim (ln (5 s) in x)

What is the limit as x approaches infinity of 1/2 e^{-x^2} ?
The limit as x approaches infinity of 1/2 e^{-x^2} is 0