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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

= e^{- 0} sin (0)

Simplify

e^{- 0} sin (0) : 0

= 0

x \to 6 lim (2 + sin (2 π x))

a \to 2 - lim (a^{2} + 50 a)

x \to a lim (x)

x \to 0 lim (\frac{7 x ^{2} + 5 x}{x})

n \to 2 lim (3 n + 1)

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