(b) Evaluate the following limits (i) \( \lim _{x \rightarrow 0} \frac{\cos (x)-\cos (2 x)}{1-\cos (x)} \) [3 marks] (ii) \( \lim _{x \rightarrow \infty} x \ln \left(1+\frac{3}{x}\right) \) [3 marks] (iii) \( \lim _{x \rightarrow 1} \frac{\cos 3 x-1-3 x}{e^{\left(x^{2}\right)}-\sin x} \) [3 marks]
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### (i) \( \lim _{x \rightarrow 0} \frac{\cos (x)-\cos (2 x)}{1-\cos (x)} \) ** Show more…
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