What is the limit as x approaches 0 of 8/(1+sin(x)) ?

The limit as x approaches 0 of 8/(1+sin(x)) is 8

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limit as x approaches 0 of 8/(1+sin(x))

x \to 0 lim (\frac{8}{1 + sin ( x )})

8

Solution steps

x \to 0 lim (\frac{8}{1 + sin ( x )})

Plug in the value

x = 0

= \frac{8}{1 + sin ( 0 )}

Simplify

\frac{8}{1 + sin ( 0 )} : 8

= 8

What is the limit as x approaches 0 of 8/(1+sin(x)) ?
The limit as x approaches 0 of 8/(1+sin(x)) is 8