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

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

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

x \to 0 lim (- \frac{1}{2} e^{- x^{2}})

- \frac{1}{2}

Decimal

- 0.5

Solution steps

x \to 0 lim (- \frac{1}{2} e^{- x^{2}})

Plug in the value

x = 0

= - \frac{1}{2} e^{- 0^{2}}

Simplify

= - \frac{1}{2}

x \to 0 lim ((1 - cos (x))^{t a n (x)})

x \to 0 lim (x + 4 - 2)

x \to 0 - lim (\frac{x + 5}{x})

x \to 4 lim (3 3 - x)

x \to 0 lim (\frac{1}{x + 4} - \frac{1}{4})

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