What is the limit as x approaches 0 of e^{-x}cos(x) ?

The limit as x approaches 0 of e^{-x}cos(x) is 1

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limit as x approaches 0 of e^{-x}cos(x)

x \to 0 lim (e^{- x} cos (x))

1

Solution steps

x \to 0 lim (e^{- x} cos (x))

Plug in the value

x = 0

= e^{- 0} cos (0)

Simplify

e^{- 0} cos (0) : 1

= 1

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What is the limit as x approaches 0 of e^{-x}cos(x) ?
The limit as x approaches 0 of e^{-x}cos(x) is 1