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Math  /  Calculus

QuestionFind the limit: lim⁡x→πcos⁡x+sin⁡(2x)+1x2−π2\lim _{x \rightarrow \pi} \frac{\cos x+\sin (2 x)+1}{x^{2}-\pi^{2}}. Options: (A) 12π\frac{1}{2 \pi} (B) 1π\frac{1}{\pi} (C) 1 (D) nonexistent.

Studdy Solution
Question: What is the value of −sin⁡π+2cos⁡(2π)2π\frac{-\sin \pi + 2\cos (2\pi)}{2\pi}?
A) 00 B) 11 C) 1π\frac{1}{\pi} D) 22
Answer: C) 1π\frac{1}{\pi}

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