Question6. Evaluate $\lim _{x \rightarrow \frac{\pi}{2}}(\sin x-\cos x)^{\tan x}$ [5 pts]

Studdy Solution
Since $\lim_{x \to \frac{\pi}{2}} \ln y = 0$, we have:
$$\lim_{x \to \frac{\pi}{2}} y = e^0 = 1$$
The value of the limit is:
$$\boxed{1}$$