What is the limit as t approaches 0 of e^{-5t} ?

The limit as t approaches 0 of e^{-5t} is 1

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limit as t approaches 0 of e^{-5t}

t \to 0 lim (e^{- 5 t})

1

Solution steps

t \to 0 lim (e^{- 5 t})

Plug in the value

t = 0

= e^{- 5 \cdot 0}

Simplify

= 1

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What is the limit as t approaches 0 of e^{-5t} ?
The limit as t approaches 0 of e^{-5t} is 1