Consider
\[ \lim _{x\to 0^+} (\sin (x))^x. \]
Select the form of the limit.
\(\zeroToZero \) \(\oneToInfty \) \(\inftyToZero \)
Now
\[ \lim _{x\to 0^+} (\sin (x))^x = e^{\lim _{x\to 0^+}\answer {x \ln (\sin (x))}}. \]
The value of the limit in the exponential above is \(\answer {0}\), so
\[ \lim _{x\to 0^+} (\sin (x))^x = e^{\answer {0}} = \answer {1}. \]