Examine the continuity of f, where f is defined by`f(x)={{:(sinx-cosx , ifx!=0),(-1, ifx=0):}`

Explanation

To examine the continuity of the function \( f \) defined by:

\[
f(x) =
\begin{cases}
\sin x - \cos x & \text{if } x \neq 0 \\
-1 & \text{if } x = 0
\end{cases}
...