Examine the functions for continuity: \[ f(x)=\left\{\begin{array}{cc} \sin x-\cos x, & x \neq 0...

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Examine the
functions for continuity:
\[
f(x)=\left\{\begin{array}{cc}
\sin x-\cos x, & x \neq 0 \\
-1, & x=0
\end{array}\right.
\]
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