What is the limit as x approaches 0 of e^xsin(x) ?

The limit as x approaches 0 of e^xsin(x) is 0

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limit as x approaches 0 of e^xsin(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

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What is the limit as x approaches 0 of e^xsin(x) ?
The limit as x approaches 0 of e^xsin(x) is 0