A Show that diverges to infinity as tends to zero.

MATHEMATICS · Multi-part · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

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

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