$$\[ g(x)=\frac{1}{\sqrt{4-x^{2}}} \]$$ (a) Find, in ascending powers of $$\(x\)$$, the first four non-zero terms of the binomial expansion of $$\(\mathrm{g}(x)\)$$. Give each coefficient in simplest form. (5) (b) State the range of values of $$\(x\)$$ for which this expansion is valid. (1) (c) Use the expansion from part (a) to find a fully simplified rational approximation for $$\(\sqrt{3}\)$$ Show your working and make your method clear. (2)

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