Find the first three non-zero terms of the expansion of ${{\left( 4-x \right)}^{\frac{1}{2}}}$ in

Question

Find the first three non-zero terms of the expansion of ${{\left( 4-x \right)}^{\frac{1}{2}}}$ in ascending powers of $x$ and state the range of values of $x$ for which the expansion is valid.[3]

By substituting $x=\frac{1}{25}$, find an approximation to $\sqrt{11}$, giving your answer to three decimal places.[2]

Accepted Answer

$\sqrt{11}\approx3.317$ ($3$ s.f.)

2008 AJC P1 Q2

2008 AJC P1 Q2

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