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

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

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

x \to 0 lim (e^{s i n (x)})

1

Solution steps

x \to 0 lim (e^{s i n (x)})

Plug in the value

x = 0

= e^{s i n (0)}

Simplify

e^{s i n (0)} : 1

= 1

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