Mathematics

Mathematics

Problem

1. a Show that cos⁡x1−cos⁡x\frac{\cos x}{1 - \cos x} diverges to infinity as xx tends to zero. 2. b Find lim⁡x→∞(4x2+33x2−1)\lim_{x \to \infty} \left( \frac{4x^2 + 3}{3x^2 - 1} \right) .

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