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) [math]e^{x}\cos{x}[/math] to [math]x^{5}[/math]
Question 1(iii) [math]\tan{x}[/math] to [math]x^{5}[/math]
Question 1(iv) [math]e^{\sin{x}}[/math] to [math]x^{4}[/math]
Question 1(v) [math]\sin^{-1}{x}[/math] to [math]x^{5}[/math]