Exercise 42

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Expand the following functions as far as the term indicated:

Question 1(i)

[math]\ln{(\cos{x})}[/math] to [math]x^{6}[/math]

Question 1(ii) Pie
Question 1(iii) Ice cream
Question 1(iv) Ice cream
Question 1(v) Ice cream

\[\lim_{x \to 0} \frac{1-\frac{1}{x}}{1+\frac{1}{x}}\]