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

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

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

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

\frac{1}{2}

Decimal Notation

0.5

Solution steps

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

Plug in the value

t = 0

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

Simplify

= \frac{1}{2}

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