The graph below shows sections of the relationships y = sin(0) and y = 0. The graph suggests that sin (0) 0 when is small. The shaded section between the two curves serves to highlight the failure of this approximation as increases. -3--4 2 л π 4 I 4 Д 4 KIN Д 2 +5+ 3 4 N f(n) (00) (i) Consider f(0) = sin(0) and the truncated Maclaurin series SÃ(0) = Σ -(0-00)". n! n=0 Show that S₁ (0) and S₂(0) give the approximation sin(0) ≈ 0. (ii) For the approximation S₂(0), use Taylor's Inequality to calculate the error bound on the interval |0-00| ≤ 4. (iii) If we want to increase the number of terms in our Maclaurin series approximation to include 05

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