Evaluate the following limits: \[ \lim _{x \rightarrow \frac{\pi}{4}} \frac{\sqrt{2}-\cos x-\sin...

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Evaluate the following limits:
\[
\lim _{x \rightarrow \frac{\pi}{4}} \frac{\sqrt{2}-\cos x-\sin x}{(4 x-\pi)^{2}}
\]
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